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Finding the Fourth Proportional to 27,652.68, 41,467.32 and 15,169.14

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Solution

The fourth proportional to 27,652.68, 41,467.32 and 15,169.14 is: 22,747.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,652.68 : 41,467.32 = 15,169.14 : x
  2. Step 2: Convert to fraction form
    27,652.68/41,467.32 = 15,169.14/x
  3. Step 3: Cross multiply
    27,652.68x = 41,467.32 × 15,169.14
  4. Step 4: Simplify right side
    27,652.68x = 629,023,582.50
  5. Step 5: Solve for x
    x = 629,023,582.50/27,652.68
  6. Step 6: Final answer
    x = 22,747.29

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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.