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Finding the Fourth Proportional to 17,213.50, 23,754.63 and 9,761.50

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Solution

The fourth proportional to 17,213.50, 23,754.63 and 9,761.50 is: 13,470.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,213.50 : 23,754.63 = 9,761.50 : x
  2. Step 2: Convert to fraction form
    17,213.50/23,754.63 = 9,761.50/x
  3. Step 3: Cross multiply
    17,213.50x = 23,754.63 × 9,761.50
  4. Step 4: Simplify right side
    17,213.50x = 231,880,820.75
  5. Step 5: Solve for x
    x = 231,880,820.75/17,213.50
  6. Step 6: Final answer
    x = 13,470.87

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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.