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Finding the Fourth Proportional to 17,825.22, 26,728.83 and 10,431.90

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Solution

The fourth proportional to 17,825.22, 26,728.83 and 10,431.90 is: 15,642.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,825.22 : 26,728.83 = 10,431.90 : x
  2. Step 2: Convert to fraction form
    17,825.22/26,728.83 = 10,431.90/x
  3. Step 3: Cross multiply
    17,825.22x = 26,728.83 × 10,431.90
  4. Step 4: Simplify right side
    17,825.22x = 278,832,481.68
  5. Step 5: Solve for x
    x = 278,832,481.68/17,825.22
  6. Step 6: Final answer
    x = 15,642.58

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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.