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Finding the Fourth Proportional to 17,716.82, 26,581.36 and 7,863

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Solution

The fourth proportional to 17,716.82, 26,581.36 and 7,863 is: 11,797.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,716.82 : 26,581.36 = 7,863 : x
  2. Step 2: Convert to fraction form
    17,716.82/26,581.36 = 7,863/x
  3. Step 3: Cross multiply
    17,716.82x = 26,581.36 × 7,863
  4. Step 4: Simplify right side
    17,716.82x = 209,009,233.68
  5. Step 5: Solve for x
    x = 209,009,233.68/17,716.82
  6. Step 6: Final answer
    x = 11,797.22

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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.