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Finding the Fourth Proportional to 12,073.50, 18,111.87 and 5,149.62

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Solution

The fourth proportional to 12,073.50, 18,111.87 and 5,149.62 is: 7,725.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,073.50 : 18,111.87 = 5,149.62 : x
  2. Step 2: Convert to fraction form
    12,073.50/18,111.87 = 5,149.62/x
  3. Step 3: Cross multiply
    12,073.50x = 18,111.87 × 5,149.62
  4. Step 4: Simplify right side
    12,073.50x = 93,269,247.99
  5. Step 5: Solve for x
    x = 93,269,247.99/12,073.50
  6. Step 6: Final answer
    x = 7,725.12

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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.