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Finding the Fourth Proportional to 20,812.80, 31,221.90 and 10,288.20

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Solution

The fourth proportional to 20,812.80, 31,221.90 and 10,288.20 is: 15,433.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,812.80 : 31,221.90 = 10,288.20 : x
  2. Step 2: Convert to fraction form
    20,812.80/31,221.90 = 10,288.20/x
  3. Step 3: Cross multiply
    20,812.80x = 31,221.90 × 10,288.20
  4. Step 4: Simplify right side
    20,812.80x = 321,217,151.58
  5. Step 5: Solve for x
    x = 321,217,151.58/20,812.80
  6. Step 6: Final answer
    x = 15,433.63

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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.