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Finding the Fourth Proportional to 17,260.82, 23,819.22 and 9,707.78

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Solution

The fourth proportional to 17,260.82, 23,819.22 and 9,707.78 is: 13,396.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,260.82 : 23,819.22 = 9,707.78 : x
  2. Step 2: Convert to fraction form
    17,260.82/23,819.22 = 9,707.78/x
  3. Step 3: Cross multiply
    17,260.82x = 23,819.22 × 9,707.78
  4. Step 4: Simplify right side
    17,260.82x = 231,231,747.53
  5. Step 5: Solve for x
    x = 231,231,747.53/17,260.82
  6. Step 6: Final answer
    x = 13,396.34

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1.5x scale

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.