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Finding the Fourth Proportional to 13,478.85, 20,194.74 and 8,791.38

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Solution

The fourth proportional to 13,478.85, 20,194.74 and 8,791.38 is: 13,171.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,478.85 : 20,194.74 = 8,791.38 : x
  2. Step 2: Convert to fraction form
    13,478.85/20,194.74 = 8,791.38/x
  3. Step 3: Cross multiply
    13,478.85x = 20,194.74 × 8,791.38
  4. Step 4: Simplify right side
    13,478.85x = 177,539,633.34
  5. Step 5: Solve for x
    x = 177,539,633.34/13,478.85
  6. Step 6: Final answer
    x = 13,171.72

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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.