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Finding the Fourth Proportional to 17,222.57, 23,761.03 and 11,257.68

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Solution

The fourth proportional to 17,222.57, 23,761.03 and 11,257.68 is: 15,531.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,222.57 : 23,761.03 = 11,257.68 : x
  2. Step 2: Convert to fraction form
    17,222.57/23,761.03 = 11,257.68/x
  3. Step 3: Cross multiply
    17,222.57x = 23,761.03 × 11,257.68
  4. Step 4: Simplify right side
    17,222.57x = 267,494,072.21
  5. Step 5: Solve for x
    x = 267,494,072.21/17,222.57
  6. Step 6: Final answer
    x = 15,531.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.