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Finding the Fourth Proportional to 13,648.35, 20,446.29 and 8,367.97

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Solution

The fourth proportional to 13,648.35, 20,446.29 and 8,367.97 is: 12,535.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,648.35 : 20,446.29 = 8,367.97 : x
  2. Step 2: Convert to fraction form
    13,648.35/20,446.29 = 8,367.97/x
  3. Step 3: Cross multiply
    13,648.35x = 20,446.29 × 8,367.97
  4. Step 4: Simplify right side
    13,648.35x = 171,093,884.54
  5. Step 5: Solve for x
    x = 171,093,884.54/13,648.35
  6. Step 6: Final answer
    x = 12,535.86

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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.