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Finding the Fourth Proportional to 22,003.24, 33,011.34 and 8,149

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Solution

The fourth proportional to 22,003.24, 33,011.34 and 8,149 is: 12,225.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,003.24 : 33,011.34 = 8,149 : x
  2. Step 2: Convert to fraction form
    22,003.24/33,011.34 = 8,149/x
  3. Step 3: Cross multiply
    22,003.24x = 33,011.34 × 8,149
  4. Step 4: Simplify right side
    22,003.24x = 269,009,409.66
  5. Step 5: Solve for x
    x = 269,009,409.66/22,003.24
  6. Step 6: Final answer
    x = 12,225.90

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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.