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Finding the Fourth Proportional to 13,408.38, 20,022.24 and 10,947.99

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Solution

The fourth proportional to 13,408.38, 20,022.24 and 10,947.99 is: 16,348.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,408.38 : 20,022.24 = 10,947.99 : x
  2. Step 2: Convert to fraction form
    13,408.38/20,022.24 = 10,947.99/x
  3. Step 3: Cross multiply
    13,408.38x = 20,022.24 × 10,947.99
  4. Step 4: Simplify right side
    13,408.38x = 219,203,283.30
  5. Step 5: Solve for x
    x = 219,203,283.30/13,408.38
  6. Step 6: Final answer
    x = 16,348.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.