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Finding the Fourth Proportional to 24,517.54, 36,781.83 and 8,935.22

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Solution

The fourth proportional to 24,517.54, 36,781.83 and 8,935.22 is: 13,404.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,517.54 : 36,781.83 = 8,935.22 : x
  2. Step 2: Convert to fraction form
    24,517.54/36,781.83 = 8,935.22/x
  3. Step 3: Cross multiply
    24,517.54x = 36,781.83 × 8,935.22
  4. Step 4: Simplify right side
    24,517.54x = 328,653,743.05
  5. Step 5: Solve for x
    x = 328,653,743.05/24,517.54
  6. Step 6: Final answer
    x = 13,404.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.