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Finding the Fourth Proportional to 17,692.10, 24,414.84 and 9,734.12

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Solution

The fourth proportional to 17,692.10, 24,414.84 and 9,734.12 is: 13,432.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,692.10 : 24,414.84 = 9,734.12 : x
  2. Step 2: Convert to fraction form
    17,692.10/24,414.84 = 9,734.12/x
  3. Step 3: Cross multiply
    17,692.10x = 24,414.84 × 9,734.12
  4. Step 4: Simplify right side
    17,692.10x = 237,656,860.27
  5. Step 5: Solve for x
    x = 237,656,860.27/17,692.10
  6. Step 6: Final answer
    x = 13,432.94

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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.