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Finding the Fourth Proportional to 27,674.43, 41,511.50 and 10,809.15

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Solution

The fourth proportional to 27,674.43, 41,511.50 and 10,809.15 is: 16,213.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,674.43 : 41,511.50 = 10,809.15 : x
  2. Step 2: Convert to fraction form
    27,674.43/41,511.50 = 10,809.15/x
  3. Step 3: Cross multiply
    27,674.43x = 41,511.50 × 10,809.15
  4. Step 4: Simplify right side
    27,674.43x = 448,703,921.85
  5. Step 5: Solve for x
    x = 448,703,921.85/27,674.43
  6. Step 6: Final answer
    x = 16,213.67

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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.