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Finding the Fourth Proportional to 12,644.81, 17,446.19 and 8,171.18

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Solution

The fourth proportional to 12,644.81, 17,446.19 and 8,171.18 is: 11,273.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,644.81 : 17,446.19 = 8,171.18 : x
  2. Step 2: Convert to fraction form
    12,644.81/17,446.19 = 8,171.18/x
  3. Step 3: Cross multiply
    12,644.81x = 17,446.19 × 8,171.18
  4. Step 4: Simplify right side
    12,644.81x = 142,555,896.14
  5. Step 5: Solve for x
    x = 142,555,896.14/12,644.81
  6. Step 6: Final answer
    x = 11,273.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.