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Finding the Fourth Proportional to 26,786.38, 36,964.39 and 14,849

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Solution

The fourth proportional to 26,786.38, 36,964.39 and 14,849 is: 20,491.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,786.38 : 36,964.39 = 14,849 : x
  2. Step 2: Convert to fraction form
    26,786.38/36,964.39 = 14,849/x
  3. Step 3: Cross multiply
    26,786.38x = 36,964.39 × 14,849
  4. Step 4: Simplify right side
    26,786.38x = 548,884,227.11
  5. Step 5: Solve for x
    x = 548,884,227.11/26,786.38
  6. Step 6: Final answer
    x = 20,491.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.