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Finding the Fourth Proportional to 10,171.27, 15,239.44 and 9,144.10

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Solution

The fourth proportional to 10,171.27, 15,239.44 and 9,144.10 is: 13,700.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,171.27 : 15,239.44 = 9,144.10 : x
  2. Step 2: Convert to fraction form
    10,171.27/15,239.44 = 9,144.10/x
  3. Step 3: Cross multiply
    10,171.27x = 15,239.44 × 9,144.10
  4. Step 4: Simplify right side
    10,171.27x = 139,350,963.30
  5. Step 5: Solve for x
    x = 139,350,963.30/10,171.27
  6. Step 6: Final answer
    x = 13,700.45

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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.