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Finding the Fourth Proportional to 13,820.52, 20,728.84 and 3,960.64

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Solution

The fourth proportional to 13,820.52, 20,728.84 and 3,960.64 is: 5,940.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,820.52 : 20,728.84 = 3,960.64 : x
  2. Step 2: Convert to fraction form
    13,820.52/20,728.84 = 3,960.64/x
  3. Step 3: Cross multiply
    13,820.52x = 20,728.84 × 3,960.64
  4. Step 4: Simplify right side
    13,820.52x = 82,099,472.86
  5. Step 5: Solve for x
    x = 82,099,472.86/13,820.52
  6. Step 6: Final answer
    x = 5,940.40

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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.