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Finding the Fourth Proportional to 17,732.68, 24,469.82 and 10,178.82

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Solution

The fourth proportional to 17,732.68, 24,469.82 and 10,178.82 is: 14,046.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,732.68 : 24,469.82 = 10,178.82 : x
  2. Step 2: Convert to fraction form
    17,732.68/24,469.82 = 10,178.82/x
  3. Step 3: Cross multiply
    17,732.68x = 24,469.82 × 10,178.82
  4. Step 4: Simplify right side
    17,732.68x = 249,073,893.21
  5. Step 5: Solve for x
    x = 249,073,893.21/17,732.68
  6. Step 6: Final answer
    x = 14,046.04

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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.