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Finding the Fourth Proportional to 13,680.64, 20,512.74 and 5,350.72

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Solution

The fourth proportional to 13,680.64, 20,512.74 and 5,350.72 is: 8,022.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,680.64 : 20,512.74 = 5,350.72 : x
  2. Step 2: Convert to fraction form
    13,680.64/20,512.74 = 5,350.72/x
  3. Step 3: Cross multiply
    13,680.64x = 20,512.74 × 5,350.72
  4. Step 4: Simplify right side
    13,680.64x = 109,757,928.17
  5. Step 5: Solve for x
    x = 109,757,928.17/13,680.64
  6. Step 6: Final answer
    x = 8,022.87

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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.