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Finding the Fourth Proportional to 16,257.60, 24,385.32 and 6,404.76

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Solution

The fourth proportional to 16,257.60, 24,385.32 and 6,404.76 is: 9,606.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,257.60 : 24,385.32 = 6,404.76 : x
  2. Step 2: Convert to fraction form
    16,257.60/24,385.32 = 6,404.76/x
  3. Step 3: Cross multiply
    16,257.60x = 24,385.32 × 6,404.76
  4. Step 4: Simplify right side
    16,257.60x = 156,182,122.12
  5. Step 5: Solve for x
    x = 156,182,122.12/16,257.60
  6. Step 6: Final answer
    x = 9,606.71

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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.