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Finding the Fourth Proportional to 13,680.45, 20,512.44 and 5,350.54

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Solution

The fourth proportional to 13,680.45, 20,512.44 and 5,350.54 is: 8,022.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,680.45 : 20,512.44 = 5,350.54 : x
  2. Step 2: Convert to fraction form
    13,680.45/20,512.44 = 5,350.54/x
  3. Step 3: Cross multiply
    13,680.45x = 20,512.44 × 5,350.54
  4. Step 4: Simplify right side
    13,680.45x = 109,752,630.72
  5. Step 5: Solve for x
    x = 109,752,630.72/13,680.45
  6. Step 6: Final answer
    x = 8,022.59

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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.