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Finding the Fourth Proportional to 12,586.50, 18,879.75 and 3,821.22

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Solution

The fourth proportional to 12,586.50, 18,879.75 and 3,821.22 is: 5,731.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,586.50 : 18,879.75 = 3,821.22 : x
  2. Step 2: Convert to fraction form
    12,586.50/18,879.75 = 3,821.22/x
  3. Step 3: Cross multiply
    12,586.50x = 18,879.75 × 3,821.22
  4. Step 4: Simplify right side
    12,586.50x = 72,143,678.30
  5. Step 5: Solve for x
    x = 72,143,678.30/12,586.50
  6. Step 6: Final answer
    x = 5,731.83

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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.