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Finding the Fourth Proportional to 27,633.24, 41,400.26 and 16,794.24

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Solution

The fourth proportional to 27,633.24, 41,400.26 and 16,794.24 is: 25,161.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,633.24 : 41,400.26 = 16,794.24 : x
  2. Step 2: Convert to fraction form
    27,633.24/41,400.26 = 16,794.24/x
  3. Step 3: Cross multiply
    27,633.24x = 41,400.26 × 16,794.24
  4. Step 4: Simplify right side
    27,633.24x = 695,285,902.50
  5. Step 5: Solve for x
    x = 695,285,902.50/27,633.24
  6. Step 6: Final answer
    x = 25,161.22

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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.