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Finding the Fourth Proportional to 25,781.20, 38,671.80 and 8,251.60

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Solution

The fourth proportional to 25,781.20, 38,671.80 and 8,251.60 is: 12,377.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,781.20 : 38,671.80 = 8,251.60 : x
  2. Step 2: Convert to fraction form
    25,781.20/38,671.80 = 8,251.60/x
  3. Step 3: Cross multiply
    25,781.20x = 38,671.80 × 8,251.60
  4. Step 4: Simplify right side
    25,781.20x = 319,104,224.88
  5. Step 5: Solve for x
    x = 319,104,224.88/25,781.20
  6. Step 6: Final answer
    x = 12,377.40

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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.