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Finding the Fourth Proportional to 12,136.18, 18,206.85 and 6,873.65

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Solution

The fourth proportional to 12,136.18, 18,206.85 and 6,873.65 is: 10,311.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,136.18 : 18,206.85 = 6,873.65 : x
  2. Step 2: Convert to fraction form
    12,136.18/18,206.85 = 6,873.65/x
  3. Step 3: Cross multiply
    12,136.18x = 18,206.85 × 6,873.65
  4. Step 4: Simplify right side
    12,136.18x = 125,147,514.50
  5. Step 5: Solve for x
    x = 125,147,514.50/12,136.18
  6. Step 6: Final answer
    x = 10,311.94

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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.