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Finding the Fourth Proportional to 13,586.84, 18,786.84 and 11,837.24

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Solution

The fourth proportional to 13,586.84, 18,786.84 and 11,837.24 is: 16,367.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,586.84 : 18,786.84 = 11,837.24 : x
  2. Step 2: Convert to fraction form
    13,586.84/18,786.84 = 11,837.24/x
  3. Step 3: Cross multiply
    13,586.84x = 18,786.84 × 11,837.24
  4. Step 4: Simplify right side
    13,586.84x = 222,384,333.92
  5. Step 5: Solve for x
    x = 222,384,333.92/13,586.84
  6. Step 6: Final answer
    x = 16,367.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.