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Finding the Fourth Proportional to 17,107.26, 23,608.38 and 10,734.10

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Solution

The fourth proportional to 17,107.26, 23,608.38 and 10,734.10 is: 14,813.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,107.26 : 23,608.38 = 10,734.10 : x
  2. Step 2: Convert to fraction form
    17,107.26/23,608.38 = 10,734.10/x
  3. Step 3: Cross multiply
    17,107.26x = 23,608.38 × 10,734.10
  4. Step 4: Simplify right side
    17,107.26x = 253,414,692.99
  5. Step 5: Solve for x
    x = 253,414,692.99/17,107.26
  6. Step 6: Final answer
    x = 14,813.29

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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.