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Finding the Fourth Proportional to 20,183.70, 30,239.10 and 16,465.80

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Solution

The fourth proportional to 20,183.70, 30,239.10 and 16,465.80 is: 24,668.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,183.70 : 30,239.10 = 16,465.80 : x
  2. Step 2: Convert to fraction form
    20,183.70/30,239.10 = 16,465.80/x
  3. Step 3: Cross multiply
    20,183.70x = 30,239.10 × 16,465.80
  4. Step 4: Simplify right side
    20,183.70x = 497,910,972.78
  5. Step 5: Solve for x
    x = 497,910,972.78/20,183.70
  6. Step 6: Final answer
    x = 24,668.96

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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.