Answer:
x = 432.
Explanation:
We know that 24 x 18 and x x 1 are in proportion, which can be written as:
(24 x 18) / (x x 1) = k, where k is a constant of proportionality.
Simplifying the left-hand side, we get:
24 x 18 = 432
x x 1 = x
Substituting these values, we get:
432 / x = k
To solve for x, we need to find the value of k. We can do this by using the fact that the two ratios are in proportion. That is:
24 x 18 : x x 1 = 432 : k
Simplifying the left-hand side, we get:
(24 x 18) / x = 432 / k
Multiplying both sides by x and k, we get:
24 x 18 k = 432 x
Dividing both sides by 24 x, we get:
18 k / 1 = 18
Solving for k, we get:
k = 1
Substituting k = 1 into the equation 432 / x = k, we get:
432 / x = 1
Multiplying both sides by x, we get:
432 = x
Therefore, x = 432.