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Finding the Fourth Proportional to 24,331.82, 36,503.15 and 9,542.14

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Solution

The fourth proportional to 24,331.82, 36,503.15 and 9,542.14 is: 14,315.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,331.82 : 36,503.15 = 9,542.14 : x
  2. Step 2: Convert to fraction form
    24,331.82/36,503.15 = 9,542.14/x
  3. Step 3: Cross multiply
    24,331.82x = 36,503.15 × 9,542.14
  4. Step 4: Simplify right side
    24,331.82x = 348,318,167.74
  5. Step 5: Solve for x
    x = 348,318,167.74/24,331.82
  6. Step 6: Final answer
    x = 14,315.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.