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Finding the Fourth Proportional to 13,838.76, 20,758.23 and 3,450.60

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Solution

The fourth proportional to 13,838.76, 20,758.23 and 3,450.60 is: 5,175.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,838.76 : 20,758.23 = 3,450.60 : x
  2. Step 2: Convert to fraction form
    13,838.76/20,758.23 = 3,450.60/x
  3. Step 3: Cross multiply
    13,838.76x = 20,758.23 × 3,450.60
  4. Step 4: Simplify right side
    13,838.76x = 71,628,348.44
  5. Step 5: Solve for x
    x = 71,628,348.44/13,838.76
  6. Step 6: Final answer
    x = 5,175.92

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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.