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Finding the Fourth Proportional to 17,691.34, 24,414.09 and 9,734.08

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Solution

The fourth proportional to 17,691.34, 24,414.09 and 9,734.08 is: 13,433.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,691.34 : 24,414.09 = 9,734.08 : x
  2. Step 2: Convert to fraction form
    17,691.34/24,414.09 = 9,734.08/x
  3. Step 3: Cross multiply
    17,691.34x = 24,414.09 × 9,734.08
  4. Step 4: Simplify right side
    17,691.34x = 237,648,558.78
  5. Step 5: Solve for x
    x = 237,648,558.78/17,691.34
  6. Step 6: Final answer
    x = 13,433.05

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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.