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Finding the Fourth Proportional to 17,542.82, 24,209.62 and 9,585.18

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Solution

The fourth proportional to 17,542.82, 24,209.62 and 9,585.18 is: 13,227.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,542.82 : 24,209.62 = 9,585.18 : x
  2. Step 2: Convert to fraction form
    17,542.82/24,209.62 = 9,585.18/x
  3. Step 3: Cross multiply
    17,542.82x = 24,209.62 × 9,585.18
  4. Step 4: Simplify right side
    17,542.82x = 232,053,541.47
  5. Step 5: Solve for x
    x = 232,053,541.47/17,542.82
  6. Step 6: Final answer
    x = 13,227.83

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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.