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Finding the Fourth Proportional to 20,462.14, 30,694.50 and 6,422.71

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Solution

The fourth proportional to 20,462.14, 30,694.50 and 6,422.71 is: 9,634.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,462.14 : 30,694.50 = 6,422.71 : x
  2. Step 2: Convert to fraction form
    20,462.14/30,694.50 = 6,422.71/x
  3. Step 3: Cross multiply
    20,462.14x = 30,694.50 × 6,422.71
  4. Step 4: Simplify right side
    20,462.14x = 197,141,872.10
  5. Step 5: Solve for x
    x = 197,141,872.10/20,462.14
  6. Step 6: Final answer
    x = 9,634.47

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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.