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Finding the Fourth Proportional to 16,233.72, 24,350.76 and 13,878.48

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Solution

The fourth proportional to 16,233.72, 24,350.76 and 13,878.48 is: 20,817.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,233.72 : 24,350.76 = 13,878.48 : x
  2. Step 2: Convert to fraction form
    16,233.72/24,350.76 = 13,878.48/x
  3. Step 3: Cross multiply
    16,233.72x = 24,350.76 × 13,878.48
  4. Step 4: Simplify right side
    16,233.72x = 337,951,535.64
  5. Step 5: Solve for x
    x = 337,951,535.64/16,233.72
  6. Step 6: Final answer
    x = 20,817.87

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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.