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Finding the Fourth Proportional to 12,136.98, 18,205.59 and 3,816.81

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Solution

The fourth proportional to 12,136.98, 18,205.59 and 3,816.81 is: 5,725.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,136.98 : 18,205.59 = 3,816.81 : x
  2. Step 2: Convert to fraction form
    12,136.98/18,205.59 = 3,816.81/x
  3. Step 3: Cross multiply
    12,136.98x = 18,205.59 × 3,816.81
  4. Step 4: Simplify right side
    12,136.98x = 69,487,277.97
  5. Step 5: Solve for x
    x = 69,487,277.97/12,136.98
  6. Step 6: Final answer
    x = 5,725.25

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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.