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Finding the Fourth Proportional to 17,474.64, 24,115.85 and 9,920.83

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Solution

The fourth proportional to 17,474.64, 24,115.85 and 9,920.83 is: 13,691.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,474.64 : 24,115.85 = 9,920.83 : x
  2. Step 2: Convert to fraction form
    17,474.64/24,115.85 = 9,920.83/x
  3. Step 3: Cross multiply
    17,474.64x = 24,115.85 × 9,920.83
  4. Step 4: Simplify right side
    17,474.64x = 239,249,248.58
  5. Step 5: Solve for x
    x = 239,249,248.58/17,474.64
  6. Step 6: Final answer
    x = 13,691.23

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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.