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Finding the Fourth Proportional to 13,884.50, 20,825.22 and 3,496.25

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Solution

The fourth proportional to 13,884.50, 20,825.22 and 3,496.25 is: 5,243.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,884.50 : 20,825.22 = 3,496.25 : x
  2. Step 2: Convert to fraction form
    13,884.50/20,825.22 = 3,496.25/x
  3. Step 3: Cross multiply
    13,884.50x = 20,825.22 × 3,496.25
  4. Step 4: Simplify right side
    13,884.50x = 72,810,175.43
  5. Step 5: Solve for x
    x = 72,810,175.43/13,884.50
  6. Step 6: Final answer
    x = 5,243.99

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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.