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Finding the Fourth Proportional to 22,033.92, 30,395.55 and 14,067.78

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Solution

The fourth proportional to 22,033.92, 30,395.55 and 14,067.78 is: 19,406.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,033.92 : 30,395.55 = 14,067.78 : x
  2. Step 2: Convert to fraction form
    22,033.92/30,395.55 = 14,067.78/x
  3. Step 3: Cross multiply
    22,033.92x = 30,395.55 × 14,067.78
  4. Step 4: Simplify right side
    22,033.92x = 427,597,910.38
  5. Step 5: Solve for x
    x = 427,597,910.38/22,033.92
  6. Step 6: Final answer
    x = 19,406.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.