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Finding the Fourth Proportional to 12,586.14, 18,879.26 and 3,821.13

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Solution

The fourth proportional to 12,586.14, 18,879.26 and 3,821.13 is: 5,731.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,586.14 : 18,879.26 = 3,821.13 : x
  2. Step 2: Convert to fraction form
    12,586.14/18,879.26 = 3,821.13/x
  3. Step 3: Cross multiply
    12,586.14x = 18,879.26 × 3,821.13
  4. Step 4: Simplify right side
    12,586.14x = 72,140,106.76
  5. Step 5: Solve for x
    x = 72,140,106.76/12,586.14
  6. Step 6: Final answer
    x = 5,731.71

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