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Finding the Fourth Proportional to 27,976.50, 41,964.75 and 8,254.78

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Solution

The fourth proportional to 27,976.50, 41,964.75 and 8,254.78 is: 12,382.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,976.50 : 41,964.75 = 8,254.78 : x
  2. Step 2: Convert to fraction form
    27,976.50/41,964.75 = 8,254.78/x
  3. Step 3: Cross multiply
    27,976.50x = 41,964.75 × 8,254.78
  4. Step 4: Simplify right side
    27,976.50x = 346,409,674.09
  5. Step 5: Solve for x
    x = 346,409,674.09/27,976.50
  6. Step 6: Final answer
    x = 12,382.17

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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.