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Finding the Fourth Proportional to 20,806.53, 31,213.12 and 6,765.47

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Solution

The fourth proportional to 20,806.53, 31,213.12 and 6,765.47 is: 10,149.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,806.53 : 31,213.12 = 6,765.47 : x
  2. Step 2: Convert to fraction form
    20,806.53/31,213.12 = 6,765.47/x
  3. Step 3: Cross multiply
    20,806.53x = 31,213.12 × 6,765.47
  4. Step 4: Simplify right side
    20,806.53x = 211,171,426.97
  5. Step 5: Solve for x
    x = 211,171,426.97/20,806.53
  6. Step 6: Final answer
    x = 10,149.29

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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.