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Finding the Fourth Proportional to 22,264.66, 33,399.22 and 8,228.38

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Solution

The fourth proportional to 22,264.66, 33,399.22 and 8,228.38 is: 12,343.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,264.66 : 33,399.22 = 8,228.38 : x
  2. Step 2: Convert to fraction form
    22,264.66/33,399.22 = 8,228.38/x
  3. Step 3: Cross multiply
    22,264.66x = 33,399.22 × 8,228.38
  4. Step 4: Simplify right side
    22,264.66x = 274,821,306.87
  5. Step 5: Solve for x
    x = 274,821,306.87/22,264.66
  6. Step 6: Final answer
    x = 12,343.39

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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.