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Finding the Fourth Proportional to 12,085.08, 18,121.02 and 8,136.18

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Solution

The fourth proportional to 12,085.08, 18,121.02 and 8,136.18 is: 12,199.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,085.08 : 18,121.02 = 8,136.18 : x
  2. Step 2: Convert to fraction form
    12,085.08/18,121.02 = 8,136.18/x
  3. Step 3: Cross multiply
    12,085.08x = 18,121.02 × 8,136.18
  4. Step 4: Simplify right side
    12,085.08x = 147,435,880.50
  5. Step 5: Solve for x
    x = 147,435,880.50/12,085.08
  6. Step 6: Final answer
    x = 12,199.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.