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Finding the Fourth Proportional to 22,791.84, 34,183.42 and 9,653.44

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Solution

The fourth proportional to 22,791.84, 34,183.42 and 9,653.44 is: 14,478.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,791.84 : 34,183.42 = 9,653.44 : x
  2. Step 2: Convert to fraction form
    22,791.84/34,183.42 = 9,653.44/x
  3. Step 3: Cross multiply
    22,791.84x = 34,183.42 × 9,653.44
  4. Step 4: Simplify right side
    22,791.84x = 329,987,593.96
  5. Step 5: Solve for x
    x = 329,987,593.96/22,791.84
  6. Step 6: Final answer
    x = 14,478.32

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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.