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Finding the Fourth Proportional to 22,338, 33,504.30 and 7,344.36

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Solution

The fourth proportional to 22,338, 33,504.30 and 7,344.36 is: 11,015.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,338 : 33,504.30 = 7,344.36 : x
  2. Step 2: Convert to fraction form
    22,338/33,504.30 = 7,344.36/x
  3. Step 3: Cross multiply
    22,338x = 33,504.30 × 7,344.36
  4. Step 4: Simplify right side
    22,338x = 246,067,640.75
  5. Step 5: Solve for x
    x = 246,067,640.75/22,338
  6. Step 6: Final answer
    x = 11,015.65

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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.