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Finding the Fourth Proportional to 12,144.30, 18,193.77 and 6,934.38

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Solution

The fourth proportional to 12,144.30, 18,193.77 and 6,934.38 is: 10,388.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,144.30 : 18,193.77 = 6,934.38 : x
  2. Step 2: Convert to fraction form
    12,144.30/18,193.77 = 6,934.38/x
  3. Step 3: Cross multiply
    12,144.30x = 18,193.77 × 6,934.38
  4. Step 4: Simplify right side
    12,144.30x = 126,162,514.81
  5. Step 5: Solve for x
    x = 126,162,514.81/12,144.30
  6. Step 6: Final answer
    x = 10,388.62

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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.