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Finding the Fourth Proportional to 10,799.97, 16,171.92 and 9,249.93

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Solution

The fourth proportional to 10,799.97, 16,171.92 and 9,249.93 is: 13,850.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,799.97 : 16,171.92 = 9,249.93 : x
  2. Step 2: Convert to fraction form
    10,799.97/16,171.92 = 9,249.93/x
  3. Step 3: Cross multiply
    10,799.97x = 16,171.92 × 9,249.93
  4. Step 4: Simplify right side
    10,799.97x = 149,589,127.97
  5. Step 5: Solve for x
    x = 149,589,127.97/10,799.97
  6. Step 6: Final answer
    x = 13,850.88

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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.