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Finding the Fourth Proportional to 23,922.74, 35,882.90 and 7,282.41

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Solution

The fourth proportional to 23,922.74, 35,882.90 and 7,282.41 is: 10,923.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,922.74 : 35,882.90 = 7,282.41 : x
  2. Step 2: Convert to fraction form
    23,922.74/35,882.90 = 7,282.41/x
  3. Step 3: Cross multiply
    23,922.74x = 35,882.90 × 7,282.41
  4. Step 4: Simplify right side
    23,922.74x = 261,313,846.13
  5. Step 5: Solve for x
    x = 261,313,846.13/23,922.74
  6. Step 6: Final answer
    x = 10,923.24

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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.