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Finding the Fourth Proportional to 13,443.88, 20,163.54 and 3,584.20

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Solution

The fourth proportional to 13,443.88, 20,163.54 and 3,584.20 is: 5,375.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,443.88 : 20,163.54 = 3,584.20 : x
  2. Step 2: Convert to fraction form
    13,443.88/20,163.54 = 3,584.20/x
  3. Step 3: Cross multiply
    13,443.88x = 20,163.54 × 3,584.20
  4. Step 4: Simplify right side
    13,443.88x = 72,270,160.07
  5. Step 5: Solve for x
    x = 72,270,160.07/13,443.88
  6. Step 6: Final answer
    x = 5,375.69

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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.