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Finding the Fourth Proportional to 20,694.40, 31,049.70 and 8,212.30

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Solution

The fourth proportional to 20,694.40, 31,049.70 and 8,212.30 is: 12,321.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,694.40 : 31,049.70 = 8,212.30 : x
  2. Step 2: Convert to fraction form
    20,694.40/31,049.70 = 8,212.30/x
  3. Step 3: Cross multiply
    20,694.40x = 31,049.70 × 8,212.30
  4. Step 4: Simplify right side
    20,694.40x = 254,989,451.31
  5. Step 5: Solve for x
    x = 254,989,451.31/20,694.40
  6. Step 6: Final answer
    x = 12,321.66

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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.