Find a number which has the same ratio to $$32$$ as $$18$$ has to $$24$$.
Let the number be $$x$$
Ratio of $$x$$ to $$32$$ is $$x:32=\dfrac{x}{32}$$
Ratio of $$18$$ to $$24$$ is $$18:24=\dfrac{18}{24}=\dfrac{3}{4}$$
Given $$x:32=18:24$$
$$\implies \dfrac{x}{32}=\dfrac{3}{4}$$
$$\implies x=\dfrac{3}{4}\times 32$$
$$\implies x=3\times 8$$
$$\implies x=24$$