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Finding the Fourth Proportional to 20,145.10, 30,213.86 and 8,458.42

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Solution

The fourth proportional to 20,145.10, 30,213.86 and 8,458.42 is: 12,686.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,145.10 : 30,213.86 = 8,458.42 : x
  2. Step 2: Convert to fraction form
    20,145.10/30,213.86 = 8,458.42/x
  3. Step 3: Cross multiply
    20,145.10x = 30,213.86 × 8,458.42
  4. Step 4: Simplify right side
    20,145.10x = 255,561,517.70
  5. Step 5: Solve for x
    x = 255,561,517.70/20,145.10
  6. Step 6: Final answer
    x = 12,686.04

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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.