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Finding the Fourth Proportional to 17,850.96, 26,781.84 and 6,165.36

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Solution

The fourth proportional to 17,850.96, 26,781.84 and 6,165.36 is: 9,249.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,850.96 : 26,781.84 = 6,165.36 : x
  2. Step 2: Convert to fraction form
    17,850.96/26,781.84 = 6,165.36/x
  3. Step 3: Cross multiply
    17,850.96x = 26,781.84 × 6,165.36
  4. Step 4: Simplify right side
    17,850.96x = 165,119,685.06
  5. Step 5: Solve for x
    x = 165,119,685.06/17,850.96
  6. Step 6: Final answer
    x = 9,249.91

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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.