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Finding the Fourth Proportional to 12,142.31, 16,753.41 and 8,101.17

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Solution

The fourth proportional to 12,142.31, 16,753.41 and 8,101.17 is: 11,177.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,142.31 : 16,753.41 = 8,101.17 : x
  2. Step 2: Convert to fraction form
    12,142.31/16,753.41 = 8,101.17/x
  3. Step 3: Cross multiply
    12,142.31x = 16,753.41 × 8,101.17
  4. Step 4: Simplify right side
    12,142.31x = 135,722,222.49
  5. Step 5: Solve for x
    x = 135,722,222.49/12,142.31
  6. Step 6: Final answer
    x = 11,177.63

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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.