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Finding the Fourth Proportional to 26,914.50, 40,378.23 and 8,446.50

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Solution

The fourth proportional to 26,914.50, 40,378.23 and 8,446.50 is: 12,671.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,914.50 : 40,378.23 = 8,446.50 : x
  2. Step 2: Convert to fraction form
    26,914.50/40,378.23 = 8,446.50/x
  3. Step 3: Cross multiply
    26,914.50x = 40,378.23 × 8,446.50
  4. Step 4: Simplify right side
    26,914.50x = 341,054,719.70
  5. Step 5: Solve for x
    x = 341,054,719.70/26,914.50
  6. Step 6: Final answer
    x = 12,671.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.