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Finding the Fourth Proportional to 17,676.91, 26,524 and 8,317.86

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Solution

The fourth proportional to 17,676.91, 26,524 and 8,317.86 is: 12,480.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,676.91 : 26,524 = 8,317.86 : x
  2. Step 2: Convert to fraction form
    17,676.91/26,524 = 8,317.86/x
  3. Step 3: Cross multiply
    17,676.91x = 26,524 × 8,317.86
  4. Step 4: Simplify right side
    17,676.91x = 220,622,918.64
  5. Step 5: Solve for x
    x = 220,622,918.64/17,676.91
  6. Step 6: Final answer
    x = 12,480.85

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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.