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Finding the Fourth Proportional to 17,648.89, 24,354.68 and 9,691.25

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Solution

The fourth proportional to 17,648.89, 24,354.68 and 9,691.25 is: 13,373.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,648.89 : 24,354.68 = 9,691.25 : x
  2. Step 2: Convert to fraction form
    17,648.89/24,354.68 = 9,691.25/x
  3. Step 3: Cross multiply
    17,648.89x = 24,354.68 × 9,691.25
  4. Step 4: Simplify right side
    17,648.89x = 236,027,122.32
  5. Step 5: Solve for x
    x = 236,027,122.32/17,648.89
  6. Step 6: Final answer
    x = 13,373.48

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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.