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Finding the Fourth Proportional to 20,254.30, 30,388.44 and 8,414.44

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Solution

The fourth proportional to 20,254.30, 30,388.44 and 8,414.44 is: 12,624.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,254.30 : 30,388.44 = 8,414.44 : x
  2. Step 2: Convert to fraction form
    20,254.30/30,388.44 = 8,414.44/x
  3. Step 3: Cross multiply
    20,254.30x = 30,388.44 × 8,414.44
  4. Step 4: Simplify right side
    20,254.30x = 255,701,584.69
  5. Step 5: Solve for x
    x = 255,701,584.69/20,254.30
  6. Step 6: Final answer
    x = 12,624.56

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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.