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Finding the Fourth Proportional to 10,115.17, 15,174.14 and 9,500.07

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Solution

The fourth proportional to 10,115.17, 15,174.14 and 9,500.07 is: 14,251.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,115.17 : 15,174.14 = 9,500.07 : x
  2. Step 2: Convert to fraction form
    10,115.17/15,174.14 = 9,500.07/x
  3. Step 3: Cross multiply
    10,115.17x = 15,174.14 × 9,500.07
  4. Step 4: Simplify right side
    10,115.17x = 144,155,401.59
  5. Step 5: Solve for x
    x = 144,155,401.59/10,115.17
  6. Step 6: Final answer
    x = 14,251.41

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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.