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Finding the Fourth Proportional to 20,180.68, 27,842.70 and 12,219.88

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Solution

The fourth proportional to 20,180.68, 27,842.70 and 12,219.88 is: 16,859.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,180.68 : 27,842.70 = 12,219.88 : x
  2. Step 2: Convert to fraction form
    20,180.68/27,842.70 = 12,219.88/x
  3. Step 3: Cross multiply
    20,180.68x = 27,842.70 × 12,219.88
  4. Step 4: Simplify right side
    20,180.68x = 340,234,452.88
  5. Step 5: Solve for x
    x = 340,234,452.88/20,180.68
  6. Step 6: Final answer
    x = 16,859.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.