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Finding the Fourth Proportional to 20,800.68, 31,211.82 and 15,901.80

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Solution

The fourth proportional to 20,800.68, 31,211.82 and 15,901.80 is: 23,860.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,800.68 : 31,211.82 = 15,901.80 : x
  2. Step 2: Convert to fraction form
    20,800.68/31,211.82 = 15,901.80/x
  3. Step 3: Cross multiply
    20,800.68x = 31,211.82 × 15,901.80
  4. Step 4: Simplify right side
    20,800.68x = 496,324,119.28
  5. Step 5: Solve for x
    x = 496,324,119.28/20,800.68
  6. Step 6: Final answer
    x = 23,860.96

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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.