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Finding the Fourth Proportional to 26,000.20, 38,942.70 and 20,137.80

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Solution

The fourth proportional to 26,000.20, 38,942.70 and 20,137.80 is: 30,162.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,000.20 : 38,942.70 = 20,137.80 : x
  2. Step 2: Convert to fraction form
    26,000.20/38,942.70 = 20,137.80/x
  3. Step 3: Cross multiply
    26,000.20x = 38,942.70 × 20,137.80
  4. Step 4: Simplify right side
    26,000.20x = 784,220,304.06
  5. Step 5: Solve for x
    x = 784,220,304.06/26,000.20
  6. Step 6: Final answer
    x = 30,162.09

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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.