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Finding the Fourth Proportional to 20,139.90, 30,209.85 and 8,449.98

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Solution

The fourth proportional to 20,139.90, 30,209.85 and 8,449.98 is: 12,674.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,139.90 : 30,209.85 = 8,449.98 : x
  2. Step 2: Convert to fraction form
    20,139.90/30,209.85 = 8,449.98/x
  3. Step 3: Cross multiply
    20,139.90x = 30,209.85 × 8,449.98
  4. Step 4: Simplify right side
    20,139.90x = 255,272,628.30
  5. Step 5: Solve for x
    x = 255,272,628.30/20,139.90
  6. Step 6: Final answer
    x = 12,674.97

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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.