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Finding the Fourth Proportional to 24,616.65, 33,965.49 and 14,538.21

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Solution

The fourth proportional to 24,616.65, 33,965.49 and 14,538.21 is: 20,059.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,616.65 : 33,965.49 = 14,538.21 : x
  2. Step 2: Convert to fraction form
    24,616.65/33,965.49 = 14,538.21/x
  3. Step 3: Cross multiply
    24,616.65x = 33,965.49 × 14,538.21
  4. Step 4: Simplify right side
    24,616.65x = 493,797,426.37
  5. Step 5: Solve for x
    x = 493,797,426.37/24,616.65
  6. Step 6: Final answer
    x = 20,059.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.