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Finding the Fourth Proportional to 22,982.24, 31,687.74 and 17,879.24

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Solution

The fourth proportional to 22,982.24, 31,687.74 and 17,879.24 is: 24,651.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,982.24 : 31,687.74 = 17,879.24 : x
  2. Step 2: Convert to fraction form
    22,982.24/31,687.74 = 17,879.24/x
  3. Step 3: Cross multiply
    22,982.24x = 31,687.74 × 17,879.24
  4. Step 4: Simplify right side
    22,982.24x = 566,552,708.52
  5. Step 5: Solve for x
    x = 566,552,708.52/22,982.24
  6. Step 6: Final answer
    x = 24,651.76

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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.