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Finding the Fourth Proportional to 20,276.87, 30,407.13 and 8,422.56

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Solution

The fourth proportional to 20,276.87, 30,407.13 and 8,422.56 is: 12,630.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,276.87 : 30,407.13 = 8,422.56 : x
  2. Step 2: Convert to fraction form
    20,276.87/30,407.13 = 8,422.56/x
  3. Step 3: Cross multiply
    20,276.87x = 30,407.13 × 8,422.56
  4. Step 4: Simplify right side
    20,276.87x = 256,105,876.85
  5. Step 5: Solve for x
    x = 256,105,876.85/20,276.87
  6. Step 6: Final answer
    x = 12,630.45

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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.