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Finding the Fourth Proportional to 18,922.26, 28,382.16 and 7,826.06

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Solution

The fourth proportional to 18,922.26, 28,382.16 and 7,826.06 is: 11,738.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,922.26 : 28,382.16 = 7,826.06 : x
  2. Step 2: Convert to fraction form
    18,922.26/28,382.16 = 7,826.06/x
  3. Step 3: Cross multiply
    18,922.26x = 28,382.16 × 7,826.06
  4. Step 4: Simplify right side
    18,922.26x = 222,120,487.09
  5. Step 5: Solve for x
    x = 222,120,487.09/18,922.26
  6. Step 6: Final answer
    x = 11,738.58

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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.