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Finding the Fourth Proportional to 12,096.37, 18,149.22 and 4,706.05

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Solution

The fourth proportional to 12,096.37, 18,149.22 and 4,706.05 is: 7,060.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,096.37 : 18,149.22 = 4,706.05 : x
  2. Step 2: Convert to fraction form
    12,096.37/18,149.22 = 4,706.05/x
  3. Step 3: Cross multiply
    12,096.37x = 18,149.22 × 4,706.05
  4. Step 4: Simplify right side
    12,096.37x = 85,411,136.78
  5. Step 5: Solve for x
    x = 85,411,136.78/12,096.37
  6. Step 6: Final answer
    x = 7,060.89

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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.