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Finding the Fourth Proportional to 13,826.69, 20,737.24 and 3,963.32

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Solution

The fourth proportional to 13,826.69, 20,737.24 and 3,963.32 is: 5,944.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,826.69 : 20,737.24 = 3,963.32 : x
  2. Step 2: Convert to fraction form
    13,826.69/20,737.24 = 3,963.32/x
  3. Step 3: Cross multiply
    13,826.69x = 20,737.24 × 3,963.32
  4. Step 4: Simplify right side
    13,826.69x = 82,188,204.44
  5. Step 5: Solve for x
    x = 82,188,204.44/13,826.69
  6. Step 6: Final answer
    x = 5,944.17

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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.