Ratios can be useful when properly applied--and that often isn't the case. It's a matter of being aware that the ratio does not take into account behavior, and only applies to certain fish (rather, a ratio is valid for fish that are similar size/shape, but different ratios must be used for different shapes/sizes)--something few newbies will research far enough to discover. In this case, it's not the bio-load of the fish in question that's a concern--it's the behavior. The behavior of damsels (clowns are in the damsel family) is such that they need much more space than their body size dictates. I disagree with your math, as well--percs get to 2 inches, so that's 6 inches, a bicolor or flame can easily hit 5 inches, the royal gamma at least 3 inches, and an inch each for the gobies (and Catalina'a are cold water fish, seldom survive long in a tropical setup), giving a total of 15 inches. Of course, you're dealing with hugely varying bio-mass--a healthy bicolor will mass much more than 5-7 gobies--which is why length based ratios are not very valuable when the same ratio is used for multiple species.
Further--this tank sounds fairly new, with minimal boilogical filtration, meaning a slower addition of fish should be followed anyway.
Further--this tank sounds fairly new, with minimal boilogical filtration, meaning a slower addition of fish should be followed anyway.