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Finding the Fourth Proportional to 17,107.67, 25,664.25 and 7,247.03

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Solution

The fourth proportional to 17,107.67, 25,664.25 and 7,247.03 is: 10,871.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,107.67 : 25,664.25 = 7,247.03 : x
  2. Step 2: Convert to fraction form
    17,107.67/25,664.25 = 7,247.03/x
  3. Step 3: Cross multiply
    17,107.67x = 25,664.25 × 7,247.03
  4. Step 4: Simplify right side
    17,107.67x = 185,989,589.68
  5. Step 5: Solve for x
    x = 185,989,589.68/17,107.67
  6. Step 6: Final answer
    x = 10,871.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.