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Finding the Fourth Proportional to 17,542, 24,218.76 and 11,265.44

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Solution

The fourth proportional to 17,542, 24,218.76 and 11,265.44 is: 15,553.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,542 : 24,218.76 = 11,265.44 : x
  2. Step 2: Convert to fraction form
    17,542/24,218.76 = 11,265.44/x
  3. Step 3: Cross multiply
    17,542x = 24,218.76 × 11,265.44
  4. Step 4: Simplify right side
    17,542x = 272,834,987.65
  5. Step 5: Solve for x
    x = 272,834,987.65/17,542
  6. Step 6: Final answer
    x = 15,553.24

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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.