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Finding the Fourth Proportional to 17,542.72, 24,209.30 and 9,585.44

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Solution

The fourth proportional to 17,542.72, 24,209.30 and 9,585.44 is: 13,228.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,542.72 : 24,209.30 = 9,585.44 : x
  2. Step 2: Convert to fraction form
    17,542.72/24,209.30 = 9,585.44/x
  3. Step 3: Cross multiply
    17,542.72x = 24,209.30 × 9,585.44
  4. Step 4: Simplify right side
    17,542.72x = 232,056,623.62
  5. Step 5: Solve for x
    x = 232,056,623.62/17,542.72
  6. Step 6: Final answer
    x = 13,228.09

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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.