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Finding the Fourth Proportional to 20,883.98, 31,324.82 and 6,842.22

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Solution

The fourth proportional to 20,883.98, 31,324.82 and 6,842.22 is: 10,262.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,883.98 : 31,324.82 = 6,842.22 : x
  2. Step 2: Convert to fraction form
    20,883.98/31,324.82 = 6,842.22/x
  3. Step 3: Cross multiply
    20,883.98x = 31,324.82 × 6,842.22
  4. Step 4: Simplify right side
    20,883.98x = 214,331,309.90
  5. Step 5: Solve for x
    x = 214,331,309.90/20,883.98
  6. Step 6: Final answer
    x = 10,262.95

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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.