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Finding the Fourth Proportional to 17,917.82, 26,877 and 6,231.44

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Solution

The fourth proportional to 17,917.82, 26,877 and 6,231.44 is: 9,347.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,917.82 : 26,877 = 6,231.44 : x
  2. Step 2: Convert to fraction form
    17,917.82/26,877 = 6,231.44/x
  3. Step 3: Cross multiply
    17,917.82x = 26,877 × 6,231.44
  4. Step 4: Simplify right side
    17,917.82x = 167,482,412.88
  5. Step 5: Solve for x
    x = 167,482,412.88/17,917.82
  6. Step 6: Final answer
    x = 9,347.25

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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.