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Finding the Fourth Proportional to 17,923.44, 26,896.83 and 6,830.22

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Solution

The fourth proportional to 17,923.44, 26,896.83 and 6,830.22 is: 10,249.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,923.44 : 26,896.83 = 6,830.22 : x
  2. Step 2: Convert to fraction form
    17,923.44/26,896.83 = 6,830.22/x
  3. Step 3: Cross multiply
    17,923.44x = 26,896.83 × 6,830.22
  4. Step 4: Simplify right side
    17,923.44x = 183,711,266.20
  5. Step 5: Solve for x
    x = 183,711,266.20/17,923.44
  6. Step 6: Final answer
    x = 10,249.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.