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Finding the Fourth Proportional to 22,249.86, 33,375.90 and 6,666

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Solution

The fourth proportional to 22,249.86, 33,375.90 and 6,666 is: 9,999.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,249.86 : 33,375.90 = 6,666 : x
  2. Step 2: Convert to fraction form
    22,249.86/33,375.90 = 6,666/x
  3. Step 3: Cross multiply
    22,249.86x = 33,375.90 × 6,666
  4. Step 4: Simplify right side
    22,249.86x = 222,483,749.40
  5. Step 5: Solve for x
    x = 222,483,749.40/22,249.86
  6. Step 6: Final answer
    x = 9,999.33

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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.