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Finding the Fourth Proportional to 20,503.44, 30,716.46 and 11,711.88

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Solution

The fourth proportional to 20,503.44, 30,716.46 and 11,711.88 is: 17,545.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,503.44 : 30,716.46 = 11,711.88 : x
  2. Step 2: Convert to fraction form
    20,503.44/30,716.46 = 11,711.88/x
  3. Step 3: Cross multiply
    20,503.44x = 30,716.46 × 11,711.88
  4. Step 4: Simplify right side
    20,503.44x = 359,747,493.54
  5. Step 5: Solve for x
    x = 359,747,493.54/20,503.44
  6. Step 6: Final answer
    x = 17,545.71

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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.