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Finding the Fourth Proportional to 20,286.54, 30,422.32 and 8,439.68

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Solution

The fourth proportional to 20,286.54, 30,422.32 and 8,439.68 is: 12,656.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,286.54 : 30,422.32 = 8,439.68 : x
  2. Step 2: Convert to fraction form
    20,286.54/30,422.32 = 8,439.68/x
  3. Step 3: Cross multiply
    20,286.54x = 30,422.32 × 8,439.68
  4. Step 4: Simplify right side
    20,286.54x = 256,754,700.61
  5. Step 5: Solve for x
    x = 256,754,700.61/20,286.54
  6. Step 6: Final answer
    x = 12,656.41

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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.