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Finding the Fourth Proportional to 16,974.26, 23,427.06 and 9,706.22

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Solution

The fourth proportional to 16,974.26, 23,427.06 and 9,706.22 is: 13,396.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,974.26 : 23,427.06 = 9,706.22 : x
  2. Step 2: Convert to fraction form
    16,974.26/23,427.06 = 9,706.22/x
  3. Step 3: Cross multiply
    16,974.26x = 23,427.06 × 9,706.22
  4. Step 4: Simplify right side
    16,974.26x = 227,388,198.31
  5. Step 5: Solve for x
    x = 227,388,198.31/16,974.26
  6. Step 6: Final answer
    x = 13,396.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.