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Finding the Fourth Proportional to 26,976.92, 40,471.52 and 8,258.42

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Solution

The fourth proportional to 26,976.92, 40,471.52 and 8,258.42 is: 12,389.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,976.92 : 40,471.52 = 8,258.42 : x
  2. Step 2: Convert to fraction form
    26,976.92/40,471.52 = 8,258.42/x
  3. Step 3: Cross multiply
    26,976.92x = 40,471.52 × 8,258.42
  4. Step 4: Simplify right side
    26,976.92x = 334,230,870.09
  5. Step 5: Solve for x
    x = 334,230,870.09/26,976.92
  6. Step 6: Final answer
    x = 12,389.51

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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.