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Finding the Fourth Proportional to 21,446.71, 32,174.11 and 8,123.69

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Solution

The fourth proportional to 21,446.71, 32,174.11 and 8,123.69 is: 12,187.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,446.71 : 32,174.11 = 8,123.69 : x
  2. Step 2: Convert to fraction form
    21,446.71/32,174.11 = 8,123.69/x
  3. Step 3: Cross multiply
    21,446.71x = 32,174.11 × 8,123.69
  4. Step 4: Simplify right side
    21,446.71x = 261,372,540.56
  5. Step 5: Solve for x
    x = 261,372,540.56/21,446.71
  6. Step 6: Final answer
    x = 12,187.07

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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.