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Finding the Fourth Proportional to 17,648.97, 24,354.79 and 9,691.33

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Solution

The fourth proportional to 17,648.97, 24,354.79 and 9,691.33 is: 13,373.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,648.97 : 24,354.79 = 9,691.33 : x
  2. Step 2: Convert to fraction form
    17,648.97/24,354.79 = 9,691.33/x
  3. Step 3: Cross multiply
    17,648.97x = 24,354.79 × 9,691.33
  4. Step 4: Simplify right side
    17,648.97x = 236,030,306.97
  5. Step 5: Solve for x
    x = 236,030,306.97/17,648.97
  6. Step 6: Final answer
    x = 13,373.60

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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.