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Finding the Fourth Proportional to 24,425.25, 36,640.55 and 7,781.37

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Solution

The fourth proportional to 24,425.25, 36,640.55 and 7,781.37 is: 11,672.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,425.25 : 36,640.55 = 7,781.37 : x
  2. Step 2: Convert to fraction form
    24,425.25/36,640.55 = 7,781.37/x
  3. Step 3: Cross multiply
    24,425.25x = 36,640.55 × 7,781.37
  4. Step 4: Simplify right side
    24,425.25x = 285,113,833.41
  5. Step 5: Solve for x
    x = 285,113,833.41/24,425.25
  6. Step 6: Final answer
    x = 11,672.91

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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.