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Finding the Fourth Proportional to 23,961.69, 33,067.34 and 13,206.94

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Solution

The fourth proportional to 23,961.69, 33,067.34 and 13,206.94 is: 18,225.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,961.69 : 33,067.34 = 13,206.94 : x
  2. Step 2: Convert to fraction form
    23,961.69/33,067.34 = 13,206.94/x
  3. Step 3: Cross multiply
    23,961.69x = 33,067.34 × 13,206.94
  4. Step 4: Simplify right side
    23,961.69x = 436,718,375.34
  5. Step 5: Solve for x
    x = 436,718,375.34/23,961.69
  6. Step 6: Final answer
    x = 18,225.69

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