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Finding the Fourth Proportional to 20,131.50, 30,202.61 and 6,983.85

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Solution

The fourth proportional to 20,131.50, 30,202.61 and 6,983.85 is: 10,477.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,131.50 : 30,202.61 = 6,983.85 : x
  2. Step 2: Convert to fraction form
    20,131.50/30,202.61 = 6,983.85/x
  3. Step 3: Cross multiply
    20,131.50x = 30,202.61 × 6,983.85
  4. Step 4: Simplify right side
    20,131.50x = 210,930,462.93
  5. Step 5: Solve for x
    x = 210,930,462.93/20,131.50
  6. Step 6: Final answer
    x = 10,477.63

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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.