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Finding the Fourth Proportional to 20,084.68, 30,129.84 and 8,395.24

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Solution

The fourth proportional to 20,084.68, 30,129.84 and 8,395.24 is: 12,594.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,084.68 : 30,129.84 = 8,395.24 : x
  2. Step 2: Convert to fraction form
    20,084.68/30,129.84 = 8,395.24/x
  3. Step 3: Cross multiply
    20,084.68x = 30,129.84 × 8,395.24
  4. Step 4: Simplify right side
    20,084.68x = 252,947,237.96
  5. Step 5: Solve for x
    x = 252,947,237.96/20,084.68
  6. Step 6: Final answer
    x = 12,594.04

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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.