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Finding the Fourth Proportional to 17,222.70, 23,761.20 and 11,257.81

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Solution

The fourth proportional to 17,222.70, 23,761.20 and 11,257.81 is: 15,531.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,222.70 : 23,761.20 = 11,257.81 : x
  2. Step 2: Convert to fraction form
    17,222.70/23,761.20 = 11,257.81/x
  3. Step 3: Cross multiply
    17,222.70x = 23,761.20 × 11,257.81
  4. Step 4: Simplify right side
    17,222.70x = 267,499,074.97
  5. Step 5: Solve for x
    x = 267,499,074.97/17,222.70
  6. Step 6: Final answer
    x = 15,531.77

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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.