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Finding the Fourth Proportional to 13,679.56, 20,533.92 and 13,183.84

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Solution

The fourth proportional to 13,679.56, 20,533.92 and 13,183.84 is: 19,789.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,679.56 : 20,533.92 = 13,183.84 : x
  2. Step 2: Convert to fraction form
    13,679.56/20,533.92 = 13,183.84/x
  3. Step 3: Cross multiply
    13,679.56x = 20,533.92 × 13,183.84
  4. Step 4: Simplify right side
    13,679.56x = 270,715,915.85
  5. Step 5: Solve for x
    x = 270,715,915.85/13,679.56
  6. Step 6: Final answer
    x = 19,789.81

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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.