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Finding the Fourth Proportional to 22,011.82, 33,027.48 and 8,889.82

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Solution

The fourth proportional to 22,011.82, 33,027.48 and 8,889.82 is: 13,338.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,011.82 : 33,027.48 = 8,889.82 : x
  2. Step 2: Convert to fraction form
    22,011.82/33,027.48 = 8,889.82/x
  3. Step 3: Cross multiply
    22,011.82x = 33,027.48 × 8,889.82
  4. Step 4: Simplify right side
    22,011.82x = 293,608,352.25
  5. Step 5: Solve for x
    x = 293,608,352.25/22,011.82
  6. Step 6: Final answer
    x = 13,338.67

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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.