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Finding the Fourth Proportional to 26,891.80, 40,337.84 and 8,172

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Solution

The fourth proportional to 26,891.80, 40,337.84 and 8,172 is: 12,258.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,891.80 : 40,337.84 = 8,172 : x
  2. Step 2: Convert to fraction form
    26,891.80/40,337.84 = 8,172/x
  3. Step 3: Cross multiply
    26,891.80x = 40,337.84 × 8,172
  4. Step 4: Simplify right side
    26,891.80x = 329,640,828.48
  5. Step 5: Solve for x
    x = 329,640,828.48/26,891.80
  6. Step 6: Final answer
    x = 12,258.04

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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.