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Finding the Fourth Proportional to 17,648.79, 24,355.35 and 9,691.53

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Solution

The fourth proportional to 17,648.79, 24,355.35 and 9,691.53 is: 13,374.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,648.79 : 24,355.35 = 9,691.53 : x
  2. Step 2: Convert to fraction form
    17,648.79/24,355.35 = 9,691.53/x
  3. Step 3: Cross multiply
    17,648.79x = 24,355.35 × 9,691.53
  4. Step 4: Simplify right side
    17,648.79x = 236,040,605.19
  5. Step 5: Solve for x
    x = 236,040,605.19/17,648.79
  6. Step 6: Final answer
    x = 13,374.32

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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.