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Finding the Fourth Proportional to 17,761.20, 26,658.16 and 9,002.24

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Solution

The fourth proportional to 17,761.20, 26,658.16 and 9,002.24 is: 13,511.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,761.20 : 26,658.16 = 9,002.24 : x
  2. Step 2: Convert to fraction form
    17,761.20/26,658.16 = 9,002.24/x
  3. Step 3: Cross multiply
    17,761.20x = 26,658.16 × 9,002.24
  4. Step 4: Simplify right side
    17,761.20x = 239,983,154.28
  5. Step 5: Solve for x
    x = 239,983,154.28/17,761.20
  6. Step 6: Final answer
    x = 13,511.65

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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.