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Finding the Fourth Proportional to 12,136.08, 18,205.02 and 3,816.06

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Solution

The fourth proportional to 12,136.08, 18,205.02 and 3,816.06 is: 5,724.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,136.08 : 18,205.02 = 3,816.06 : x
  2. Step 2: Convert to fraction form
    12,136.08/18,205.02 = 3,816.06/x
  3. Step 3: Cross multiply
    12,136.08x = 18,205.02 × 3,816.06
  4. Step 4: Simplify right side
    12,136.08x = 69,471,448.62
  5. Step 5: Solve for x
    x = 69,471,448.62/12,136.08
  6. Step 6: Final answer
    x = 5,724.37

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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.