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Finding the Fourth Proportional to 20,107.17, 27,743.88 and 12,149.83

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Solution

The fourth proportional to 20,107.17, 27,743.88 and 12,149.83 is: 16,764.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,107.17 : 27,743.88 = 12,149.83 : x
  2. Step 2: Convert to fraction form
    20,107.17/27,743.88 = 12,149.83/x
  3. Step 3: Cross multiply
    20,107.17x = 27,743.88 × 12,149.83
  4. Step 4: Simplify right side
    20,107.17x = 337,083,425.54
  5. Step 5: Solve for x
    x = 337,083,425.54/20,107.17
  6. Step 6: Final answer
    x = 16,764.34

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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.