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Finding the Fourth Proportional to 22,278.12, 33,422 and 6,696.96

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Solution

The fourth proportional to 22,278.12, 33,422 and 6,696.96 is: 10,046.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,278.12 : 33,422 = 6,696.96 : x
  2. Step 2: Convert to fraction form
    22,278.12/33,422 = 6,696.96/x
  3. Step 3: Cross multiply
    22,278.12x = 33,422 × 6,696.96
  4. Step 4: Simplify right side
    22,278.12x = 223,825,797.12
  5. Step 5: Solve for x
    x = 223,825,797.12/22,278.12
  6. Step 6: Final answer
    x = 10,046.89

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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.