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Finding the Fourth Proportional to 12,136.34, 16,748.84 and 8,096.20

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Solution

The fourth proportional to 12,136.34, 16,748.84 and 8,096.20 is: 11,173.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,136.34 : 16,748.84 = 8,096.20 : x
  2. Step 2: Convert to fraction form
    12,136.34/16,748.84 = 8,096.20/x
  3. Step 3: Cross multiply
    12,136.34x = 16,748.84 × 8,096.20
  4. Step 4: Simplify right side
    12,136.34x = 135,601,958.41
  5. Step 5: Solve for x
    x = 135,601,958.41/12,136.34
  6. Step 6: Final answer
    x = 11,173.22

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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.