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Finding the Fourth Proportional to 20,682.66, 31,021.05 and 6,640.87

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Solution

The fourth proportional to 20,682.66, 31,021.05 and 6,640.87 is: 9,960.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,682.66 : 31,021.05 = 6,640.87 : x
  2. Step 2: Convert to fraction form
    20,682.66/31,021.05 = 6,640.87/x
  3. Step 3: Cross multiply
    20,682.66x = 31,021.05 × 6,640.87
  4. Step 4: Simplify right side
    20,682.66x = 206,006,760.31
  5. Step 5: Solve for x
    x = 206,006,760.31/20,682.66
  6. Step 6: Final answer
    x = 9,960.36

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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.