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Finding the Fourth Proportional to 20,209.41, 30,310.01 and 5,414.87

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Solution

The fourth proportional to 20,209.41, 30,310.01 and 5,414.87 is: 8,121.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,209.41 : 30,310.01 = 5,414.87 : x
  2. Step 2: Convert to fraction form
    20,209.41/30,310.01 = 5,414.87/x
  3. Step 3: Cross multiply
    20,209.41x = 30,310.01 × 5,414.87
  4. Step 4: Simplify right side
    20,209.41x = 164,124,585.22
  5. Step 5: Solve for x
    x = 164,124,585.22/20,209.41
  6. Step 6: Final answer
    x = 8,121.20

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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.