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Finding the Fourth Proportional to 22,278.96, 30,745.61 and 12,208.28

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Solution

The fourth proportional to 22,278.96, 30,745.61 and 12,208.28 is: 16,847.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,278.96 : 30,745.61 = 12,208.28 : x
  2. Step 2: Convert to fraction form
    22,278.96/30,745.61 = 12,208.28/x
  3. Step 3: Cross multiply
    22,278.96x = 30,745.61 × 12,208.28
  4. Step 4: Simplify right side
    22,278.96x = 375,351,015.65
  5. Step 5: Solve for x
    x = 375,351,015.65/22,278.96
  6. Step 6: Final answer
    x = 16,847.78

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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.