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Finding the Fourth Proportional to 13,480.97, 20,224.19 and 5,161.26

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Solution

The fourth proportional to 13,480.97, 20,224.19 and 5,161.26 is: 7,742.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,480.97 : 20,224.19 = 5,161.26 : x
  2. Step 2: Convert to fraction form
    13,480.97/20,224.19 = 5,161.26/x
  3. Step 3: Cross multiply
    13,480.97x = 20,224.19 × 5,161.26
  4. Step 4: Simplify right side
    13,480.97x = 104,382,315.78
  5. Step 5: Solve for x
    x = 104,382,315.78/13,480.97
  6. Step 6: Final answer
    x = 7,742.94

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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.