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Finding the Fourth Proportional to 20,234.20, 30,279.30 and 12,842.20

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Solution

The fourth proportional to 20,234.20, 30,279.30 and 12,842.20 is: 19,217.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,234.20 : 30,279.30 = 12,842.20 : x
  2. Step 2: Convert to fraction form
    20,234.20/30,279.30 = 12,842.20/x
  3. Step 3: Cross multiply
    20,234.20x = 30,279.30 × 12,842.20
  4. Step 4: Simplify right side
    20,234.20x = 388,852,826.46
  5. Step 5: Solve for x
    x = 388,852,826.46/20,234.20
  6. Step 6: Final answer
    x = 19,217.60

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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.