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Finding the Fourth Proportional to 22,717.46, 34,066.46 and 7,922

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Solution

The fourth proportional to 22,717.46, 34,066.46 and 7,922 is: 11,879.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,717.46 : 34,066.46 = 7,922 : x
  2. Step 2: Convert to fraction form
    22,717.46/34,066.46 = 7,922/x
  3. Step 3: Cross multiply
    22,717.46x = 34,066.46 × 7,922
  4. Step 4: Simplify right side
    22,717.46x = 269,874,496.12
  5. Step 5: Solve for x
    x = 269,874,496.12/22,717.46
  6. Step 6: Final answer
    x = 11,879.61

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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.