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Finding the Fourth Proportional to 18,086.72, 27,133.74 and 6,408.14

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Solution

The fourth proportional to 18,086.72, 27,133.74 and 6,408.14 is: 9,613.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,086.72 : 27,133.74 = 6,408.14 : x
  2. Step 2: Convert to fraction form
    18,086.72/27,133.74 = 6,408.14/x
  3. Step 3: Cross multiply
    18,086.72x = 27,133.74 × 6,408.14
  4. Step 4: Simplify right side
    18,086.72x = 173,876,668.97
  5. Step 5: Solve for x
    x = 173,876,668.97/18,086.72
  6. Step 6: Final answer
    x = 9,613.50

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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.