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Finding the Fourth Proportional to 10,801.47, 16,174.17 and 9,251.43

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Solution

The fourth proportional to 10,801.47, 16,174.17 and 9,251.43 is: 13,853.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,801.47 : 16,174.17 = 9,251.43 : x
  2. Step 2: Convert to fraction form
    10,801.47/16,174.17 = 9,251.43/x
  3. Step 3: Cross multiply
    10,801.47x = 16,174.17 × 9,251.43
  4. Step 4: Simplify right side
    10,801.47x = 149,634,201.56
  5. Step 5: Solve for x
    x = 149,634,201.56/10,801.47
  6. Step 6: Final answer
    x = 13,853.13

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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.