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Finding the Fourth Proportional to 13,878.64, 20,820.12 and 6,380.56

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Solution

The fourth proportional to 13,878.64, 20,820.12 and 6,380.56 is: 9,571.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,878.64 : 20,820.12 = 6,380.56 : x
  2. Step 2: Convert to fraction form
    13,878.64/20,820.12 = 6,380.56/x
  3. Step 3: Cross multiply
    13,878.64x = 20,820.12 × 6,380.56
  4. Step 4: Simplify right side
    13,878.64x = 132,844,024.87
  5. Step 5: Solve for x
    x = 132,844,024.87/13,878.64
  6. Step 6: Final answer
    x = 9,571.83

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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.