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Finding the Fourth Proportional to 22,663.50, 33,887.07 and 20,678.37

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Solution

The fourth proportional to 22,663.50, 33,887.07 and 20,678.37 is: 30,918.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,663.50 : 33,887.07 = 20,678.37 : x
  2. Step 2: Convert to fraction form
    22,663.50/33,887.07 = 20,678.37/x
  3. Step 3: Cross multiply
    22,663.50x = 33,887.07 × 20,678.37
  4. Step 4: Simplify right side
    22,663.50x = 700,729,371.68
  5. Step 5: Solve for x
    x = 700,729,371.68/22,663.50
  6. Step 6: Final answer
    x = 30,918.85

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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.