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Finding the Fourth Proportional to 20,474.39, 30,711.97 and 6,434.16

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Solution

The fourth proportional to 20,474.39, 30,711.97 and 6,434.16 is: 9,651.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,474.39 : 30,711.97 = 6,434.16 : x
  2. Step 2: Convert to fraction form
    20,474.39/30,711.97 = 6,434.16/x
  3. Step 3: Cross multiply
    20,474.39x = 30,711.97 × 6,434.16
  4. Step 4: Simplify right side
    20,474.39x = 197,605,728.90
  5. Step 5: Solve for x
    x = 197,605,728.90/20,474.39
  6. Step 6: Final answer
    x = 9,651.36

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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.