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Finding the Fourth Proportional to 13,819.50, 20,729.39 and 3,431.25

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Solution

The fourth proportional to 13,819.50, 20,729.39 and 3,431.25 is: 5,146.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,819.50 : 20,729.39 = 3,431.25 : x
  2. Step 2: Convert to fraction form
    13,819.50/20,729.39 = 3,431.25/x
  3. Step 3: Cross multiply
    13,819.50x = 20,729.39 × 3,431.25
  4. Step 4: Simplify right side
    13,819.50x = 71,127,702.28
  5. Step 5: Solve for x
    x = 71,127,702.28/13,819.50
  6. Step 6: Final answer
    x = 5,146.91

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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.