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Finding the Fourth Proportional to 17,650.13, 24,357.17 and 9,692.48

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Solution

The fourth proportional to 17,650.13, 24,357.17 and 9,692.48 is: 13,375.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,650.13 : 24,357.17 = 9,692.48 : x
  2. Step 2: Convert to fraction form
    17,650.13/24,357.17 = 9,692.48/x
  3. Step 3: Cross multiply
    17,650.13x = 24,357.17 × 9,692.48
  4. Step 4: Simplify right side
    17,650.13x = 236,081,468.21
  5. Step 5: Solve for x
    x = 236,081,468.21/17,650.13
  6. Step 6: Final answer
    x = 13,375.63

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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.