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Finding the Fourth Proportional to 17,542.80, 24,209.42 and 9,585.36

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Solution

The fourth proportional to 17,542.80, 24,209.42 and 9,585.36 is: 13,227.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,542.80 : 24,209.42 = 9,585.36 : x
  2. Step 2: Convert to fraction form
    17,542.80/24,209.42 = 9,585.36/x
  3. Step 3: Cross multiply
    17,542.80x = 24,209.42 × 9,585.36
  4. Step 4: Simplify right side
    17,542.80x = 232,055,958.16
  5. Step 5: Solve for x
    x = 232,055,958.16/17,542.80
  6. Step 6: Final answer
    x = 13,227.99

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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.