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Finding the Fourth Proportional to 13,696.26, 20,544.39 and 5,494.02

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Solution

The fourth proportional to 13,696.26, 20,544.39 and 5,494.02 is: 8,241.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,696.26 : 20,544.39 = 5,494.02 : x
  2. Step 2: Convert to fraction form
    13,696.26/20,544.39 = 5,494.02/x
  3. Step 3: Cross multiply
    13,696.26x = 20,544.39 × 5,494.02
  4. Step 4: Simplify right side
    13,696.26x = 112,871,289.55
  5. Step 5: Solve for x
    x = 112,871,289.55/13,696.26
  6. Step 6: Final answer
    x = 8,241.03

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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.