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Finding the Fourth Proportional to 26,794.48, 36,976.34 and 16,182.14

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Solution

The fourth proportional to 26,794.48, 36,976.34 and 16,182.14 is: 22,331.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,794.48 : 36,976.34 = 16,182.14 : x
  2. Step 2: Convert to fraction form
    26,794.48/36,976.34 = 16,182.14/x
  3. Step 3: Cross multiply
    26,794.48x = 36,976.34 × 16,182.14
  4. Step 4: Simplify right side
    26,794.48x = 598,356,310.57
  5. Step 5: Solve for x
    x = 598,356,310.57/26,794.48
  6. Step 6: Final answer
    x = 22,331.33

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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.