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Finding the Fourth Proportional to 13,760.20, 20,640.30 and 10,649.80

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Solution

The fourth proportional to 13,760.20, 20,640.30 and 10,649.80 is: 15,974.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,760.20 : 20,640.30 = 10,649.80 : x
  2. Step 2: Convert to fraction form
    13,760.20/20,640.30 = 10,649.80/x
  3. Step 3: Cross multiply
    13,760.20x = 20,640.30 × 10,649.80
  4. Step 4: Simplify right side
    13,760.20x = 219,815,066.94
  5. Step 5: Solve for x
    x = 219,815,066.94/13,760.20
  6. Step 6: Final answer
    x = 15,974.70

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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.