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Finding the Fourth Proportional to 20,793.36, 31,183.20 and 10,398

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Solution

The fourth proportional to 20,793.36, 31,183.20 and 10,398 is: 15,593.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,793.36 : 31,183.20 = 10,398 : x
  2. Step 2: Convert to fraction form
    20,793.36/31,183.20 = 10,398/x
  3. Step 3: Cross multiply
    20,793.36x = 31,183.20 × 10,398
  4. Step 4: Simplify right side
    20,793.36x = 324,242,913.60
  5. Step 5: Solve for x
    x = 324,242,913.60/20,793.36
  6. Step 6: Final answer
    x = 15,593.58

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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.