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Finding the Fourth Proportional to 17,648.93, 24,355.49 and 9,691.13

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Solution

The fourth proportional to 17,648.93, 24,355.49 and 9,691.13 is: 13,373.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,648.93 : 24,355.49 = 9,691.13 : x
  2. Step 2: Convert to fraction form
    17,648.93/24,355.49 = 9,691.13/x
  3. Step 3: Cross multiply
    17,648.93x = 24,355.49 × 9,691.13
  4. Step 4: Simplify right side
    17,648.93x = 236,032,049.57
  5. Step 5: Solve for x
    x = 236,032,049.57/17,648.93
  6. Step 6: Final answer
    x = 13,373.74

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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.