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Finding the Fourth Proportional to 16,200.38, 24,245.46 and 9,957.10

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Solution

The fourth proportional to 16,200.38, 24,245.46 and 9,957.10 is: 14,901.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,200.38 : 24,245.46 = 9,957.10 : x
  2. Step 2: Convert to fraction form
    16,200.38/24,245.46 = 9,957.10/x
  3. Step 3: Cross multiply
    16,200.38x = 24,245.46 × 9,957.10
  4. Step 4: Simplify right side
    16,200.38x = 241,414,469.77
  5. Step 5: Solve for x
    x = 241,414,469.77/16,200.38
  6. Step 6: Final answer
    x = 14,901.78

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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.