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Finding the Fourth Proportional to 17,542.32, 24,208.42 and 9,584.68

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Solution

The fourth proportional to 17,542.32, 24,208.42 and 9,584.68 is: 13,226.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,542.32 : 24,208.42 = 9,584.68 : x
  2. Step 2: Convert to fraction form
    17,542.32/24,208.42 = 9,584.68/x
  3. Step 3: Cross multiply
    17,542.32x = 24,208.42 × 9,584.68
  4. Step 4: Simplify right side
    17,542.32x = 232,029,959.01
  5. Step 5: Solve for x
    x = 232,029,959.01/17,542.32
  6. Step 6: Final answer
    x = 13,226.87

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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.