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Finding the Fourth Proportional to 17,198.07, 23,732.89 and 9,643.78

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Solution

The fourth proportional to 17,198.07, 23,732.89 and 9,643.78 is: 13,308.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,198.07 : 23,732.89 = 9,643.78 : x
  2. Step 2: Convert to fraction form
    17,198.07/23,732.89 = 9,643.78/x
  3. Step 3: Cross multiply
    17,198.07x = 23,732.89 × 9,643.78
  4. Step 4: Simplify right side
    17,198.07x = 228,874,769.92
  5. Step 5: Solve for x
    x = 228,874,769.92/17,198.07
  6. Step 6: Final answer
    x = 13,308.17

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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.