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Finding the Fourth Proportional to 13,452.82, 20,171.03 and 5,123.94

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Solution

The fourth proportional to 13,452.82, 20,171.03 and 5,123.94 is: 7,682.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,452.82 : 20,171.03 = 5,123.94 : x
  2. Step 2: Convert to fraction form
    13,452.82/20,171.03 = 5,123.94/x
  3. Step 3: Cross multiply
    13,452.82x = 20,171.03 × 5,123.94
  4. Step 4: Simplify right side
    13,452.82x = 103,355,147.46
  5. Step 5: Solve for x
    x = 103,355,147.46/13,452.82
  6. Step 6: Final answer
    x = 7,682.79

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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.