Answer: The correct option is (D) 18 : 21.
Step-by-step explanation: We are given to select the ratio that is equivalent to the ratio 24 : 28.
We have

<em><u>Option (A) :</u></em> The given ratio is 1 : 4.
We have

So, this option is NOT correct.
<em><u>Option (B) :</u></em> The given ratio is 4 : 7.
We have

So, this option is NOT correct.
<em><u>Option (C) :</u></em> The given ratio is 12 : 16.
We have

So, this option is NOT correct.
<em><u>Option (D) :</u></em> The given ratio is 18 : 21.
We have

So, this option is CORRECT.
Thus, (D) is the correct option.