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Finding the Fourth Proportional to 13,452.69, 20,178.99 and 4,092.66

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Solution

The fourth proportional to 13,452.69, 20,178.99 and 4,092.66 is: 6,138.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,452.69 : 20,178.99 = 4,092.66 : x
  2. Step 2: Convert to fraction form
    13,452.69/20,178.99 = 4,092.66/x
  3. Step 3: Cross multiply
    13,452.69x = 20,178.99 × 4,092.66
  4. Step 4: Simplify right side
    13,452.69x = 82,585,745.21
  5. Step 5: Solve for x
    x = 82,585,745.21/13,452.69
  6. Step 6: Final answer
    x = 6,138.98

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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.