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Finding the Fourth Proportional to 26,540.80, 36,619.68 and 17,098

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Solution

The fourth proportional to 26,540.80, 36,619.68 and 17,098 is: 23,590.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,540.80 : 36,619.68 = 17,098 : x
  2. Step 2: Convert to fraction form
    26,540.80/36,619.68 = 17,098/x
  3. Step 3: Cross multiply
    26,540.80x = 36,619.68 × 17,098
  4. Step 4: Simplify right side
    26,540.80x = 626,123,288.64
  5. Step 5: Solve for x
    x = 626,123,288.64/26,540.80
  6. Step 6: Final answer
    x = 23,590.97

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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.