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Finding the Fourth Proportional to 10,801.97, 16,174.92 and 9,251.93

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Solution

The fourth proportional to 10,801.97, 16,174.92 and 9,251.93 is: 13,853.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,801.97 : 16,174.92 = 9,251.93 : x
  2. Step 2: Convert to fraction form
    10,801.97/16,174.92 = 9,251.93/x
  3. Step 3: Cross multiply
    10,801.97x = 16,174.92 × 9,251.93
  4. Step 4: Simplify right side
    10,801.97x = 149,649,227.60
  5. Step 5: Solve for x
    x = 149,649,227.60/10,801.97
  6. Step 6: Final answer
    x = 13,853.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.