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Finding the Fourth Proportional to 17,375.50, 23,997.99 and 11,776.78

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Solution

The fourth proportional to 17,375.50, 23,997.99 and 11,776.78 is: 16,265.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,375.50 : 23,997.99 = 11,776.78 : x
  2. Step 2: Convert to fraction form
    17,375.50/23,997.99 = 11,776.78/x
  3. Step 3: Cross multiply
    17,375.50x = 23,997.99 × 11,776.78
  4. Step 4: Simplify right side
    17,375.50x = 282,619,048.67
  5. Step 5: Solve for x
    x = 282,619,048.67/17,375.50
  6. Step 6: Final answer
    x = 16,265.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.