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Finding the Fourth Proportional to 25,772.80, 38,552.40 and 24,198.40

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Solution

The fourth proportional to 25,772.80, 38,552.40 and 24,198.40 is: 36,197.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,772.80 : 38,552.40 = 24,198.40 : x
  2. Step 2: Convert to fraction form
    25,772.80/38,552.40 = 24,198.40/x
  3. Step 3: Cross multiply
    25,772.80x = 38,552.40 × 24,198.40
  4. Step 4: Simplify right side
    25,772.80x = 932,906,396.16
  5. Step 5: Solve for x
    x = 932,906,396.16/25,772.80
  6. Step 6: Final answer
    x = 36,197.32

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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.