Given that n is directly proportional to m and m=18 when n=24, find the value of m when n=28.

Step 1: Understand the problem The problem states that n is directly proportional to m. This means that as n increases, m also increases and vice versa. The ratio of n to m is constant. We are given that m=18 when n=24, and we are asked to find the value of m when n=28.

Step 2: Write the proportionality equation Since n is directly proportional to m, we can write this relationship as n = km, where k is the constant of proportionality.

Step 3: Find the constant of proportionality We know that when n=24, m=18. We can substitute these values into the equation to find k: 24 = k*18 Solving for k, we get k = 24/18 = 4/3.

Step 4: Use the constant of proportionality to find m when n=28 Now that we know k, we can substitute n=28 into the equation to find m: 28 = (4/3)m Solving for m, we get m = 28 * (3/4) = 21.

So, the value of m when n=28 is 21.