We have to find the equivalent ratio for 6 : 12 = 20 : x.
We can write it as fractions and rearrange with a cross product like this:
[tex]\begin{gathered} \frac{6}{12}=\frac{20}{x} \\ 6\cdot x=20\cdot12 \\ 6x=240 \\ x=\frac{240}{6} \\ x=40 \end{gathered}[/tex]Answer: the ratio is 6 : 12 = 20 : 40