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Finding the Fourth Proportional to 16,814.12, 23,200.42 and 9,737.96

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Solution

The fourth proportional to 16,814.12, 23,200.42 and 9,737.96 is: 13,436.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,814.12 : 23,200.42 = 9,737.96 : x
  2. Step 2: Convert to fraction form
    16,814.12/23,200.42 = 9,737.96/x
  3. Step 3: Cross multiply
    16,814.12x = 23,200.42 × 9,737.96
  4. Step 4: Simplify right side
    16,814.12x = 225,924,761.94
  5. Step 5: Solve for x
    x = 225,924,761.94/16,814.12
  6. Step 6: Final answer
    x = 13,436.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.