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Finding the Fourth Proportional to 17,213.75, 23,754.98 and 9,761.75

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Solution

The fourth proportional to 17,213.75, 23,754.98 and 9,761.75 is: 13,471.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,213.75 : 23,754.98 = 9,761.75 : x
  2. Step 2: Convert to fraction form
    17,213.75/23,754.98 = 9,761.75/x
  3. Step 3: Cross multiply
    17,213.75x = 23,754.98 × 9,761.75
  4. Step 4: Simplify right side
    17,213.75x = 231,890,127.21
  5. Step 5: Solve for x
    x = 231,890,127.21/17,213.75
  6. Step 6: Final answer
    x = 13,471.22

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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.