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Finding the Fourth Proportional to 13,447.50, 20,171.16 and 3,452.22

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Solution

The fourth proportional to 13,447.50, 20,171.16 and 3,452.22 is: 5,178.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,447.50 : 20,171.16 = 3,452.22 : x
  2. Step 2: Convert to fraction form
    13,447.50/20,171.16 = 3,452.22/x
  3. Step 3: Cross multiply
    13,447.50x = 20,171.16 × 3,452.22
  4. Step 4: Simplify right side
    13,447.50x = 69,635,281.98
  5. Step 5: Solve for x
    x = 69,635,281.98/13,447.50
  6. Step 6: Final answer
    x = 5,178.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.