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Finding the Fourth Proportional to 25,672.60, 38,512.95 and 8,144.20

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Solution

The fourth proportional to 25,672.60, 38,512.95 and 8,144.20 is: 12,217.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,672.60 : 38,512.95 = 8,144.20 : x
  2. Step 2: Convert to fraction form
    25,672.60/38,512.95 = 8,144.20/x
  3. Step 3: Cross multiply
    25,672.60x = 38,512.95 × 8,144.20
  4. Step 4: Simplify right side
    25,672.60x = 313,657,167.39
  5. Step 5: Solve for x
    x = 313,657,167.39/25,672.60
  6. Step 6: Final answer
    x = 12,217.58

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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.