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Finding the Fourth Proportional to 17,131.85, 25,697.41 and 7,897.85

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Solution

The fourth proportional to 17,131.85, 25,697.41 and 7,897.85 is: 11,846.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,131.85 : 25,697.41 = 7,897.85 : x
  2. Step 2: Convert to fraction form
    17,131.85/25,697.41 = 7,897.85/x
  3. Step 3: Cross multiply
    17,131.85x = 25,697.41 × 7,897.85
  4. Step 4: Simplify right side
    17,131.85x = 202,954,289.57
  5. Step 5: Solve for x
    x = 202,954,289.57/17,131.85
  6. Step 6: Final answer
    x = 11,846.61

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