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Finding the Fourth Proportional to 13,224.39, 18,249.19 and 7,255.90

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Solution

The fourth proportional to 13,224.39, 18,249.19 and 7,255.90 is: 10,012.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,224.39 : 18,249.19 = 7,255.90 : x
  2. Step 2: Convert to fraction form
    13,224.39/18,249.19 = 7,255.90/x
  3. Step 3: Cross multiply
    13,224.39x = 18,249.19 × 7,255.90
  4. Step 4: Simplify right side
    13,224.39x = 132,414,297.72
  5. Step 5: Solve for x
    x = 132,414,297.72/13,224.39
  6. Step 6: Final answer
    x = 10,012.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.