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Finding the Fourth Proportional to 17,649.70, 24,355.28 and 9,692.46

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Solution

The fourth proportional to 17,649.70, 24,355.28 and 9,692.46 is: 13,374.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,649.70 : 24,355.28 = 9,692.46 : x
  2. Step 2: Convert to fraction form
    17,649.70/24,355.28 = 9,692.46/x
  3. Step 3: Cross multiply
    17,649.70x = 24,355.28 × 9,692.46
  4. Step 4: Simplify right side
    17,649.70x = 236,062,601.42
  5. Step 5: Solve for x
    x = 236,062,601.42/17,649.70
  6. Step 6: Final answer
    x = 13,374.88

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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.