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Finding the Fourth Proportional to 22,471.26, 33,707.67 and 8,429.85

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Solution

The fourth proportional to 22,471.26, 33,707.67 and 8,429.85 is: 12,645.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,471.26 : 33,707.67 = 8,429.85 : x
  2. Step 2: Convert to fraction form
    22,471.26/33,707.67 = 8,429.85/x
  3. Step 3: Cross multiply
    22,471.26x = 33,707.67 × 8,429.85
  4. Step 4: Simplify right side
    22,471.26x = 284,150,601.95
  5. Step 5: Solve for x
    x = 284,150,601.95/22,471.26
  6. Step 6: Final answer
    x = 12,645.07

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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.