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Finding the Fourth Proportional to 22,175.84, 33,270.06 and 7,394.42

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Solution

The fourth proportional to 22,175.84, 33,270.06 and 7,394.42 is: 11,093.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,175.84 : 33,270.06 = 7,394.42 : x
  2. Step 2: Convert to fraction form
    22,175.84/33,270.06 = 7,394.42/x
  3. Step 3: Cross multiply
    22,175.84x = 33,270.06 × 7,394.42
  4. Step 4: Simplify right side
    22,175.84x = 246,012,797.07
  5. Step 5: Solve for x
    x = 246,012,797.07/22,175.84
  6. Step 6: Final answer
    x = 11,093.73

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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.