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Finding the Fourth Proportional to 27,644.20, 41,472.30 and 10,114.04

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Solution

The fourth proportional to 27,644.20, 41,472.30 and 10,114.04 is: 15,173.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,644.20 : 41,472.30 = 10,114.04 : x
  2. Step 2: Convert to fraction form
    27,644.20/41,472.30 = 10,114.04/x
  3. Step 3: Cross multiply
    27,644.20x = 41,472.30 × 10,114.04
  4. Step 4: Simplify right side
    27,644.20x = 419,452,501.09
  5. Step 5: Solve for x
    x = 419,452,501.09/27,644.20
  6. Step 6: Final answer
    x = 15,173.26

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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.