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Finding the Fourth Proportional to 20,800.20, 31,151.70 and 20,382.60

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Solution

The fourth proportional to 20,800.20, 31,151.70 and 20,382.60 is: 30,526.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,800.20 : 31,151.70 = 20,382.60 : x
  2. Step 2: Convert to fraction form
    20,800.20/31,151.70 = 20,382.60/x
  3. Step 3: Cross multiply
    20,800.20x = 31,151.70 × 20,382.60
  4. Step 4: Simplify right side
    20,800.20x = 634,952,640.42
  5. Step 5: Solve for x
    x = 634,952,640.42/20,800.20
  6. Step 6: Final answer
    x = 30,526.28

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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.