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Finding the Fourth Proportional to 17,822.50, 26,729.50 and 5,976.69

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Solution

The fourth proportional to 17,822.50, 26,729.50 and 5,976.69 is: 8,963.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,822.50 : 26,729.50 = 5,976.69 : x
  2. Step 2: Convert to fraction form
    17,822.50/26,729.50 = 5,976.69/x
  3. Step 3: Cross multiply
    17,822.50x = 26,729.50 × 5,976.69
  4. Step 4: Simplify right side
    17,822.50x = 159,753,935.36
  5. Step 5: Solve for x
    x = 159,753,935.36/17,822.50
  6. Step 6: Final answer
    x = 8,963.61

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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.