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Finding the Fourth Proportional to 20,193.70, 30,358.97 and 16,272.49

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Solution

The fourth proportional to 20,193.70, 30,358.97 and 16,272.49 is: 24,463.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,193.70 : 30,358.97 = 16,272.49 : x
  2. Step 2: Convert to fraction form
    20,193.70/30,358.97 = 16,272.49/x
  3. Step 3: Cross multiply
    20,193.70x = 30,358.97 × 16,272.49
  4. Step 4: Simplify right side
    20,193.70x = 494,015,996.42
  5. Step 5: Solve for x
    x = 494,015,996.42/20,193.70
  6. Step 6: Final answer
    x = 24,463.87

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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.