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Finding the Fourth Proportional to 17,819.75, 26,721.78 and 8,462.49

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Solution

The fourth proportional to 17,819.75, 26,721.78 and 8,462.49 is: 12,690.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,819.75 : 26,721.78 = 8,462.49 : x
  2. Step 2: Convert to fraction form
    17,819.75/26,721.78 = 8,462.49/x
  3. Step 3: Cross multiply
    17,819.75x = 26,721.78 × 8,462.49
  4. Step 4: Simplify right side
    17,819.75x = 226,132,796.03
  5. Step 5: Solve for x
    x = 226,132,796.03/17,819.75
  6. Step 6: Final answer
    x = 12,690.01

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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.