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Finding the Fourth Proportional to 16,279.57, 24,402.75 and 6,414.85

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Solution

The fourth proportional to 16,279.57, 24,402.75 and 6,414.85 is: 9,615.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,279.57 : 24,402.75 = 6,414.85 : x
  2. Step 2: Convert to fraction form
    16,279.57/24,402.75 = 6,414.85/x
  3. Step 3: Cross multiply
    16,279.57x = 24,402.75 × 6,414.85
  4. Step 4: Simplify right side
    16,279.57x = 156,539,980.84
  5. Step 5: Solve for x
    x = 156,539,980.84/16,279.57
  6. Step 6: Final answer
    x = 9,615.73

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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.