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Finding the Fourth Proportional to 22,273.98, 30,738.24 and 12,202.47

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Solution

The fourth proportional to 22,273.98, 30,738.24 and 12,202.47 is: 16,839.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,273.98 : 30,738.24 = 12,202.47 : x
  2. Step 2: Convert to fraction form
    22,273.98/30,738.24 = 12,202.47/x
  3. Step 3: Cross multiply
    22,273.98x = 30,738.24 × 12,202.47
  4. Step 4: Simplify right side
    22,273.98x = 375,082,451.45
  5. Step 5: Solve for x
    x = 375,082,451.45/22,273.98
  6. Step 6: Final answer
    x = 16,839.49

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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.