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Finding the Fourth Proportional to 21,023.67, 31,542.09 and 6,232.68

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Solution

The fourth proportional to 21,023.67, 31,542.09 and 6,232.68 is: 9,350.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,023.67 : 31,542.09 = 6,232.68 : x
  2. Step 2: Convert to fraction form
    21,023.67/31,542.09 = 6,232.68/x
  3. Step 3: Cross multiply
    21,023.67x = 31,542.09 × 6,232.68
  4. Step 4: Simplify right side
    21,023.67x = 196,591,753.50
  5. Step 5: Solve for x
    x = 196,591,753.50/21,023.67
  6. Step 6: Final answer
    x = 9,350.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.