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Finding the Fourth Proportional to 24,509.97, 36,766.17 and 6,982.38

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Solution

The fourth proportional to 24,509.97, 36,766.17 and 6,982.38 is: 10,473.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,509.97 : 36,766.17 = 6,982.38 : x
  2. Step 2: Convert to fraction form
    24,509.97/36,766.17 = 6,982.38/x
  3. Step 3: Cross multiply
    24,509.97x = 36,766.17 × 6,982.38
  4. Step 4: Simplify right side
    24,509.97x = 256,715,370.08
  5. Step 5: Solve for x
    x = 256,715,370.08/24,509.97
  6. Step 6: Final answer
    x = 10,473.92

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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.