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Finding the Fourth Proportional to 22,872.54, 34,297.86 and 9,717.75

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Solution

The fourth proportional to 22,872.54, 34,297.86 and 9,717.75 is: 14,571.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,872.54 : 34,297.86 = 9,717.75 : x
  2. Step 2: Convert to fraction form
    22,872.54/34,297.86 = 9,717.75/x
  3. Step 3: Cross multiply
    22,872.54x = 34,297.86 × 9,717.75
  4. Step 4: Simplify right side
    22,872.54x = 333,298,029.02
  5. Step 5: Solve for x
    x = 333,298,029.02/22,872.54
  6. Step 6: Final answer
    x = 14,571.97

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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.