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Finding the Fourth Proportional to 22,051.29, 33,067.37 and 8,006.64

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Solution

The fourth proportional to 22,051.29, 33,067.37 and 8,006.64 is: 12,006.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,051.29 : 33,067.37 = 8,006.64 : x
  2. Step 2: Convert to fraction form
    22,051.29/33,067.37 = 8,006.64/x
  3. Step 3: Cross multiply
    22,051.29x = 33,067.37 × 8,006.64
  4. Step 4: Simplify right side
    22,051.29x = 264,758,487.30
  5. Step 5: Solve for x
    x = 264,758,487.30/22,051.29
  6. Step 6: Final answer
    x = 12,006.49

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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.