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Finding the Fourth Proportional to 13,794.26, 20,675.18 and 6,383.06

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Solution

The fourth proportional to 13,794.26, 20,675.18 and 6,383.06 is: 9,567.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,794.26 : 20,675.18 = 6,383.06 : x
  2. Step 2: Convert to fraction form
    13,794.26/20,675.18 = 6,383.06/x
  3. Step 3: Cross multiply
    13,794.26x = 20,675.18 × 6,383.06
  4. Step 4: Simplify right side
    13,794.26x = 131,970,882.54
  5. Step 5: Solve for x
    x = 131,970,882.54/13,794.26
  6. Step 6: Final answer
    x = 9,567.09

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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.