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Finding the Fourth Proportional to 22,147.70, 33,201.36 and 11,057.72

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Solution

The fourth proportional to 22,147.70, 33,201.36 and 11,057.72 is: 16,576.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,147.70 : 33,201.36 = 11,057.72 : x
  2. Step 2: Convert to fraction form
    22,147.70/33,201.36 = 11,057.72/x
  3. Step 3: Cross multiply
    22,147.70x = 33,201.36 × 11,057.72
  4. Step 4: Simplify right side
    22,147.70x = 367,131,176.49
  5. Step 5: Solve for x
    x = 367,131,176.49/22,147.70
  6. Step 6: Final answer
    x = 16,576.50

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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.