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Finding the Fourth Proportional to 12,136.44, 18,173.46 and 7,209.48

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Solution

The fourth proportional to 12,136.44, 18,173.46 and 7,209.48 is: 10,795.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,136.44 : 18,173.46 = 7,209.48 : x
  2. Step 2: Convert to fraction form
    12,136.44/18,173.46 = 7,209.48/x
  3. Step 3: Cross multiply
    12,136.44x = 18,173.46 × 7,209.48
  4. Step 4: Simplify right side
    12,136.44x = 131,021,196.40
  5. Step 5: Solve for x
    x = 131,021,196.40/12,136.44
  6. Step 6: Final answer
    x = 10,795.69

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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.