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Finding the Fourth Proportional to 27,086.49, 40,602.03 and 9,311.82

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Solution

The fourth proportional to 27,086.49, 40,602.03 and 9,311.82 is: 13,958.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,086.49 : 40,602.03 = 9,311.82 : x
  2. Step 2: Convert to fraction form
    27,086.49/40,602.03 = 9,311.82/x
  3. Step 3: Cross multiply
    27,086.49x = 40,602.03 × 9,311.82
  4. Step 4: Simplify right side
    27,086.49x = 378,078,794.99
  5. Step 5: Solve for x
    x = 378,078,794.99/27,086.49
  6. Step 6: Final answer
    x = 13,958.21

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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.