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Finding the Fourth Proportional to 13,819.67, 20,729.50 and 5,049.80

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Solution

The fourth proportional to 13,819.67, 20,729.50 and 5,049.80 is: 7,574.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,819.67 : 20,729.50 = 5,049.80 : x
  2. Step 2: Convert to fraction form
    13,819.67/20,729.50 = 5,049.80/x
  3. Step 3: Cross multiply
    13,819.67x = 20,729.50 × 5,049.80
  4. Step 4: Simplify right side
    13,819.67x = 104,679,829.10
  5. Step 5: Solve for x
    x = 104,679,829.10/13,819.67
  6. Step 6: Final answer
    x = 7,574.70

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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.