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Finding the Fourth Proportional to 16,408.59, 24,615.92 and 5,314.15

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Solution

The fourth proportional to 16,408.59, 24,615.92 and 5,314.15 is: 7,972.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,408.59 : 24,615.92 = 5,314.15 : x
  2. Step 2: Convert to fraction form
    16,408.59/24,615.92 = 5,314.15/x
  3. Step 3: Cross multiply
    16,408.59x = 24,615.92 × 5,314.15
  4. Step 4: Simplify right side
    16,408.59x = 130,812,691.27
  5. Step 5: Solve for x
    x = 130,812,691.27/16,408.59
  6. Step 6: Final answer
    x = 7,972.21

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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.