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Finding the Fourth Proportional to 20,605.37, 30,920.75 and 8,123.27

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Solution

The fourth proportional to 20,605.37, 30,920.75 and 8,123.27 is: 12,189.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,605.37 : 30,920.75 = 8,123.27 : x
  2. Step 2: Convert to fraction form
    20,605.37/30,920.75 = 8,123.27/x
  3. Step 3: Cross multiply
    20,605.37x = 30,920.75 × 8,123.27
  4. Step 4: Simplify right side
    20,605.37x = 251,177,560.24
  5. Step 5: Solve for x
    x = 251,177,560.24/20,605.37
  6. Step 6: Final answer
    x = 12,189.91

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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.