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Finding the Fourth Proportional to 16,202.52, 24,306.21 and 7,877.34

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Solution

The fourth proportional to 16,202.52, 24,306.21 and 7,877.34 is: 11,817.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,202.52 : 24,306.21 = 7,877.34 : x
  2. Step 2: Convert to fraction form
    16,202.52/24,306.21 = 7,877.34/x
  3. Step 3: Cross multiply
    16,202.52x = 24,306.21 × 7,877.34
  4. Step 4: Simplify right side
    16,202.52x = 191,468,280.28
  5. Step 5: Solve for x
    x = 191,468,280.28/16,202.52
  6. Step 6: Final answer
    x = 11,817.19

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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.