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Finding the Fourth Proportional to 20,102.20, 27,737.46 and 12,139.09

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Solution

The fourth proportional to 20,102.20, 27,737.46 and 12,139.09 is: 16,749.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,102.20 : 27,737.46 = 12,139.09 : x
  2. Step 2: Convert to fraction form
    20,102.20/27,737.46 = 12,139.09/x
  3. Step 3: Cross multiply
    20,102.20x = 27,737.46 × 12,139.09
  4. Step 4: Simplify right side
    20,102.20x = 336,707,523.31
  5. Step 5: Solve for x
    x = 336,707,523.31/20,102.20
  6. Step 6: Final answer
    x = 16,749.78

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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.