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Finding the Fourth Proportional to 13,838.43, 20,757.72 and 3,450.18

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Solution

The fourth proportional to 13,838.43, 20,757.72 and 3,450.18 is: 5,175.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,838.43 : 20,757.72 = 3,450.18 : x
  2. Step 2: Convert to fraction form
    13,838.43/20,757.72 = 3,450.18/x
  3. Step 3: Cross multiply
    13,838.43x = 20,757.72 × 3,450.18
  4. Step 4: Simplify right side
    13,838.43x = 71,617,870.39
  5. Step 5: Solve for x
    x = 71,617,870.39/13,838.43
  6. Step 6: Final answer
    x = 5,175.29

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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.