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Finding the Fourth Proportional to 13,824.80, 20,738.02 and 3,963.86

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Solution

The fourth proportional to 13,824.80, 20,738.02 and 3,963.86 is: 5,946.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,824.80 : 20,738.02 = 3,963.86 : x
  2. Step 2: Convert to fraction form
    13,824.80/20,738.02 = 3,963.86/x
  3. Step 3: Cross multiply
    13,824.80x = 20,738.02 × 3,963.86
  4. Step 4: Simplify right side
    13,824.80x = 82,202,607.96
  5. Step 5: Solve for x
    x = 82,202,607.96/13,824.80
  6. Step 6: Final answer
    x = 5,946.03

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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.