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Finding the Fourth Proportional to 17,491.97, 26,245.69 and 9,170

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Solution

The fourth proportional to 17,491.97, 26,245.69 and 9,170 is: 13,759.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,491.97 : 26,245.69 = 9,170 : x
  2. Step 2: Convert to fraction form
    17,491.97/26,245.69 = 9,170/x
  3. Step 3: Cross multiply
    17,491.97x = 26,245.69 × 9,170
  4. Step 4: Simplify right side
    17,491.97x = 240,672,977.30
  5. Step 5: Solve for x
    x = 240,672,977.30/17,491.97
  6. Step 6: Final answer
    x = 13,759.06

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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.