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Finding the Fourth Proportional to 22,286.97, 33,430.50 and 5,647

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Solution

The fourth proportional to 22,286.97, 33,430.50 and 5,647 is: 8,470.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,286.97 : 33,430.50 = 5,647 : x
  2. Step 2: Convert to fraction form
    22,286.97/33,430.50 = 5,647/x
  3. Step 3: Cross multiply
    22,286.97x = 33,430.50 × 5,647
  4. Step 4: Simplify right side
    22,286.97x = 188,782,033.50
  5. Step 5: Solve for x
    x = 188,782,033.50/22,286.97
  6. Step 6: Final answer
    x = 8,470.51

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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.