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Finding the Fourth Proportional to 22,003.14, 33,007.98 and 7,964.22

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Solution

The fourth proportional to 22,003.14, 33,007.98 and 7,964.22 is: 11,947.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,003.14 : 33,007.98 = 7,964.22 : x
  2. Step 2: Convert to fraction form
    22,003.14/33,007.98 = 7,964.22/x
  3. Step 3: Cross multiply
    22,003.14x = 33,007.98 × 7,964.22
  4. Step 4: Simplify right side
    22,003.14x = 262,882,814.48
  5. Step 5: Solve for x
    x = 262,882,814.48/22,003.14
  6. Step 6: Final answer
    x = 11,947.51

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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.