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Finding the Fourth Proportional to 20,107.17, 27,743.67 and 12,147.84

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Solution

The fourth proportional to 20,107.17, 27,743.67 and 12,147.84 is: 16,761.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,107.17 : 27,743.67 = 12,147.84 : x
  2. Step 2: Convert to fraction form
    20,107.17/27,743.67 = 12,147.84/x
  3. Step 3: Cross multiply
    20,107.17x = 27,743.67 × 12,147.84
  4. Step 4: Simplify right side
    20,107.17x = 337,025,664.17
  5. Step 5: Solve for x
    x = 337,025,664.17/20,107.17
  6. Step 6: Final answer
    x = 16,761.47

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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.