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Finding the Fourth Proportional to 13,794.38, 20,682.65 and 5,902.04

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Solution

The fourth proportional to 13,794.38, 20,682.65 and 5,902.04 is: 8,849.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,794.38 : 20,682.65 = 5,902.04 : x
  2. Step 2: Convert to fraction form
    13,794.38/20,682.65 = 5,902.04/x
  3. Step 3: Cross multiply
    13,794.38x = 20,682.65 × 5,902.04
  4. Step 4: Simplify right side
    13,794.38x = 122,069,694.68
  5. Step 5: Solve for x
    x = 122,069,694.68/13,794.38
  6. Step 6: Final answer
    x = 8,849.24

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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.