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Finding the Fourth Proportional to 12,380.13, 18,573.08 and 6,832.14

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Solution

The fourth proportional to 12,380.13, 18,573.08 and 6,832.14 is: 10,249.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,380.13 : 18,573.08 = 6,832.14 : x
  2. Step 2: Convert to fraction form
    12,380.13/18,573.08 = 6,832.14/x
  3. Step 3: Cross multiply
    12,380.13x = 18,573.08 × 6,832.14
  4. Step 4: Simplify right side
    12,380.13x = 126,893,882.79
  5. Step 5: Solve for x
    x = 126,893,882.79/12,380.13
  6. Step 6: Final answer
    x = 10,249.80

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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.