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Finding the Fourth Proportional to 22,105.79, 33,161.05 and 9,456.86

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Solution

The fourth proportional to 22,105.79, 33,161.05 and 9,456.86 is: 14,186.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,105.79 : 33,161.05 = 9,456.86 : x
  2. Step 2: Convert to fraction form
    22,105.79/33,161.05 = 9,456.86/x
  3. Step 3: Cross multiply
    22,105.79x = 33,161.05 × 9,456.86
  4. Step 4: Simplify right side
    22,105.79x = 313,599,241.50
  5. Step 5: Solve for x
    x = 313,599,241.50/22,105.79
  6. Step 6: Final answer
    x = 14,186.30

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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.