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Finding the Fourth Proportional to 11,234.50, 16,851.67 and 2,914.50

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Solution

The fourth proportional to 11,234.50, 16,851.67 and 2,914.50 is: 4,371.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,234.50 : 16,851.67 = 2,914.50 : x
  2. Step 2: Convert to fraction form
    11,234.50/16,851.67 = 2,914.50/x
  3. Step 3: Cross multiply
    11,234.50x = 16,851.67 × 2,914.50
  4. Step 4: Simplify right side
    11,234.50x = 49,114,192.22
  5. Step 5: Solve for x
    x = 49,114,192.22/11,234.50
  6. Step 6: Final answer
    x = 4,371.73

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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.