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Finding the Fourth Proportional to 22,538.86, 33,815.98 and 10,067.49

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Solution

The fourth proportional to 22,538.86, 33,815.98 and 10,067.49 is: 15,104.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,538.86 : 33,815.98 = 10,067.49 : x
  2. Step 2: Convert to fraction form
    22,538.86/33,815.98 = 10,067.49/x
  3. Step 3: Cross multiply
    22,538.86x = 33,815.98 × 10,067.49
  4. Step 4: Simplify right side
    22,538.86x = 340,442,053.07
  5. Step 5: Solve for x
    x = 340,442,053.07/22,538.86
  6. Step 6: Final answer
    x = 15,104.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.