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Finding the Fourth Proportional to 13,452, 18,549.72 and 8,144.88

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Solution

The fourth proportional to 13,452, 18,549.72 and 8,144.88 is: 11,231.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,452 : 18,549.72 = 8,144.88 : x
  2. Step 2: Convert to fraction form
    13,452/18,549.72 = 8,144.88/x
  3. Step 3: Cross multiply
    13,452x = 18,549.72 × 8,144.88
  4. Step 4: Simplify right side
    13,452x = 151,085,243.43
  5. Step 5: Solve for x
    x = 151,085,243.43/13,452
  6. Step 6: Final answer
    x = 11,231.43

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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.