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Finding the Fourth Proportional to 12,396.31, 18,626.66 and 11,586.41

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Solution

The fourth proportional to 12,396.31, 18,626.66 and 11,586.41 is: 17,409.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,396.31 : 18,626.66 = 11,586.41 : x
  2. Step 2: Convert to fraction form
    12,396.31/18,626.66 = 11,586.41/x
  3. Step 3: Cross multiply
    12,396.31x = 18,626.66 × 11,586.41
  4. Step 4: Simplify right side
    12,396.31x = 215,816,081.92
  5. Step 5: Solve for x
    x = 215,816,081.92/12,396.31
  6. Step 6: Final answer
    x = 17,409.71

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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.