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Finding the Fourth Proportional to 26,555, 39,832.49 and 9,916.33

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Solution

The fourth proportional to 26,555, 39,832.49 and 9,916.33 is: 14,874.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,555 : 39,832.49 = 9,916.33 : x
  2. Step 2: Convert to fraction form
    26,555/39,832.49 = 9,916.33/x
  3. Step 3: Cross multiply
    26,555x = 39,832.49 × 9,916.33
  4. Step 4: Simplify right side
    26,555x = 394,992,115.56
  5. Step 5: Solve for x
    x = 394,992,115.56/26,555
  6. Step 6: Final answer
    x = 14,874.49

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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.