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Finding the Fourth Proportional to 22,844.44, 34,266.30 and 7,261.84

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Solution

The fourth proportional to 22,844.44, 34,266.30 and 7,261.84 is: 10,892.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,844.44 : 34,266.30 = 7,261.84 : x
  2. Step 2: Convert to fraction form
    22,844.44/34,266.30 = 7,261.84/x
  3. Step 3: Cross multiply
    22,844.44x = 34,266.30 × 7,261.84
  4. Step 4: Simplify right side
    22,844.44x = 248,836,387.99
  5. Step 5: Solve for x
    x = 248,836,387.99/22,844.44
  6. Step 6: Final answer
    x = 10,892.65

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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.