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Finding the Fourth Proportional to 20,102.29, 27,737.16 and 12,144.96

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Solution

The fourth proportional to 20,102.29, 27,737.16 and 12,144.96 is: 16,757.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,102.29 : 27,737.16 = 12,144.96 : x
  2. Step 2: Convert to fraction form
    20,102.29/27,737.16 = 12,144.96/x
  3. Step 3: Cross multiply
    20,102.29x = 27,737.16 × 12,144.96
  4. Step 4: Simplify right side
    20,102.29x = 336,866,560.03
  5. Step 5: Solve for x
    x = 336,866,560.03/20,102.29
  6. Step 6: Final answer
    x = 16,757.62

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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.