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Finding the Fourth Proportional to 22,007.73, 33,012 and 5,367.81

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Solution

The fourth proportional to 22,007.73, 33,012 and 5,367.81 is: 8,051.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,007.73 : 33,012 = 5,367.81 : x
  2. Step 2: Convert to fraction form
    22,007.73/33,012 = 5,367.81/x
  3. Step 3: Cross multiply
    22,007.73x = 33,012 × 5,367.81
  4. Step 4: Simplify right side
    22,007.73x = 177,202,143.72
  5. Step 5: Solve for x
    x = 177,202,143.72/22,007.73
  6. Step 6: Final answer
    x = 8,051.81

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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.