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Finding the Fourth Proportional to 24,532.16, 33,854.24 and 13,353.92

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Solution

The fourth proportional to 24,532.16, 33,854.24 and 13,353.92 is: 18,428.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,532.16 : 33,854.24 = 13,353.92 : x
  2. Step 2: Convert to fraction form
    24,532.16/33,854.24 = 13,353.92/x
  3. Step 3: Cross multiply
    24,532.16x = 33,854.24 × 13,353.92
  4. Step 4: Simplify right side
    24,532.16x = 452,086,812.62
  5. Step 5: Solve for x
    x = 452,086,812.62/24,532.16
  6. Step 6: Final answer
    x = 18,428.33

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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.