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Finding the Fourth Proportional to 22,067.78, 33,083 and 9,578.36

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Solution

The fourth proportional to 22,067.78, 33,083 and 9,578.36 is: 14,359.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,067.78 : 33,083 = 9,578.36 : x
  2. Step 2: Convert to fraction form
    22,067.78/33,083 = 9,578.36/x
  3. Step 3: Cross multiply
    22,067.78x = 33,083 × 9,578.36
  4. Step 4: Simplify right side
    22,067.78x = 316,880,883.88
  5. Step 5: Solve for x
    x = 316,880,883.88/22,067.78
  6. Step 6: Final answer
    x = 14,359.44

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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.