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Finding the Fourth Proportional to 24,314.28, 36,446.82 and 9,513.96

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Solution

The fourth proportional to 24,314.28, 36,446.82 and 9,513.96 is: 14,261.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,314.28 : 36,446.82 = 9,513.96 : x
  2. Step 2: Convert to fraction form
    24,314.28/36,446.82 = 9,513.96/x
  3. Step 3: Cross multiply
    24,314.28x = 36,446.82 × 9,513.96
  4. Step 4: Simplify right side
    24,314.28x = 346,753,587.61
  5. Step 5: Solve for x
    x = 346,753,587.61/24,314.28
  6. Step 6: Final answer
    x = 14,261.31

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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.