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Finding the Fourth Proportional to 12,136.14, 18,191.25 and 8,662.86

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Solution

The fourth proportional to 12,136.14, 18,191.25 and 8,662.86 is: 12,985.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,136.14 : 18,191.25 = 8,662.86 : x
  2. Step 2: Convert to fraction form
    12,136.14/18,191.25 = 8,662.86/x
  3. Step 3: Cross multiply
    12,136.14x = 18,191.25 × 8,662.86
  4. Step 4: Simplify right side
    12,136.14x = 157,588,251.98
  5. Step 5: Solve for x
    x = 157,588,251.98/12,136.14
  6. Step 6: Final answer
    x = 12,985.04

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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.