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Finding the Fourth Proportional to 17,452, 26,160.72 and 8,201.44

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Solution

The fourth proportional to 17,452, 26,160.72 and 8,201.44 is: 12,294.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,452 : 26,160.72 = 8,201.44 : x
  2. Step 2: Convert to fraction form
    17,452/26,160.72 = 8,201.44/x
  3. Step 3: Cross multiply
    17,452x = 26,160.72 × 8,201.44
  4. Step 4: Simplify right side
    17,452x = 214,555,575.44
  5. Step 5: Solve for x
    x = 214,555,575.44/17,452
  6. Step 6: Final answer
    x = 12,294.04

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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.