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Finding the Fourth Proportional to 17,198.97, 23,738.80 and 10,488.30

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Solution

The fourth proportional to 17,198.97, 23,738.80 and 10,488.30 is: 14,476.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,198.97 : 23,738.80 = 10,488.30 : x
  2. Step 2: Convert to fraction form
    17,198.97/23,738.80 = 10,488.30/x
  3. Step 3: Cross multiply
    17,198.97x = 23,738.80 × 10,488.30
  4. Step 4: Simplify right side
    17,198.97x = 248,979,656.04
  5. Step 5: Solve for x
    x = 248,979,656.04/17,198.97
  6. Step 6: Final answer
    x = 14,476.43

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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.