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Finding the Fourth Proportional to 17,650.71, 24,358.32 and 9,692.46

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Solution

The fourth proportional to 17,650.71, 24,358.32 and 9,692.46 is: 13,375.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,650.71 : 24,358.32 = 9,692.46 : x
  2. Step 2: Convert to fraction form
    17,650.71/24,358.32 = 9,692.46/x
  3. Step 3: Cross multiply
    17,650.71x = 24,358.32 × 9,692.46
  4. Step 4: Simplify right side
    17,650.71x = 236,092,042.27
  5. Step 5: Solve for x
    x = 236,092,042.27/17,650.71
  6. Step 6: Final answer
    x = 13,375.78

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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.