You can just use the table to keep things simpler.
If the table says you have 12.2 dKH and 4.34 meq/L (BTW both values are "alkalinity" it's just that the units are different .... to convert from meq/L to dKH multiply by 2.8 ), then your syringe reading must be "0.24".
So to do the multiply by 16 thing, you need to first take your value of 0.24 and subtract THAT from 1.
So (1 - 0.24) = 0.76 -> (0.76 * 16) = 12.16 dKH
or (1 - 0.24) = 0.76 -> (0.76 * 5.71) = 4.34 meq/L
... Which is quite a decent reading for Alk. They say NSW (natural sea water) has alk in the range of 2.6-2.7 meq/l (don't quote me on this exactly, I'm going by memory which is dodgy at best), and we like to have our Alk values "higher" than that of NSW in our tanks, for optimum calcification and etc., .... long story short: most people who track their alk, like to keep their alk at the 4.0 range. So not bad at all in your case.
