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Finding the Fourth Proportional to 22,287.24, 30,756.78 and 12,215

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Solution

The fourth proportional to 22,287.24, 30,756.78 and 12,215 is: 16,856.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,287.24 : 30,756.78 = 12,215 : x
  2. Step 2: Convert to fraction form
    22,287.24/30,756.78 = 12,215/x
  3. Step 3: Cross multiply
    22,287.24x = 30,756.78 × 12,215
  4. Step 4: Simplify right side
    22,287.24x = 375,694,067.70
  5. Step 5: Solve for x
    x = 375,694,067.70/22,287.24
  6. Step 6: Final answer
    x = 16,856.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.