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Finding the Fourth Proportional to 22,274.26, 30,738.09 and 12,202.90

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Solution

The fourth proportional to 22,274.26, 30,738.09 and 12,202.90 is: 16,839.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,274.26 : 30,738.09 = 12,202.90 : x
  2. Step 2: Convert to fraction form
    22,274.26/30,738.09 = 12,202.90/x
  3. Step 3: Cross multiply
    22,274.26x = 30,738.09 × 12,202.90
  4. Step 4: Simplify right side
    22,274.26x = 375,093,838.46
  5. Step 5: Solve for x
    x = 375,093,838.46/22,274.26
  6. Step 6: Final answer
    x = 16,839.79

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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.