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Finding the Fourth Proportional to 17,682.30, 26,496.72 and 11,828.43

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Solution

The fourth proportional to 17,682.30, 26,496.72 and 11,828.43 is: 17,724.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,682.30 : 26,496.72 = 11,828.43 : x
  2. Step 2: Convert to fraction form
    17,682.30/26,496.72 = 11,828.43/x
  3. Step 3: Cross multiply
    17,682.30x = 26,496.72 × 11,828.43
  4. Step 4: Simplify right side
    17,682.30x = 313,414,597.75
  5. Step 5: Solve for x
    x = 313,414,597.75/17,682.30
  6. Step 6: Final answer
    x = 17,724.76

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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.