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Finding the Fourth Proportional to 17,542.22, 24,207.96 and 9,584.24

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Solution

The fourth proportional to 17,542.22, 24,207.96 and 9,584.24 is: 13,226.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,542.22 : 24,207.96 = 9,584.24 : x
  2. Step 2: Convert to fraction form
    17,542.22/24,207.96 = 9,584.24/x
  3. Step 3: Cross multiply
    17,542.22x = 24,207.96 × 9,584.24
  4. Step 4: Simplify right side
    17,542.22x = 232,014,898.55
  5. Step 5: Solve for x
    x = 232,014,898.55/17,542.22
  6. Step 6: Final answer
    x = 13,226.09

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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.