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Finding the Fourth Proportional to 26,082, 35,996.81 and 16,011.27

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Solution

The fourth proportional to 26,082, 35,996.81 and 16,011.27 is: 22,097.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,082 : 35,996.81 = 16,011.27 : x
  2. Step 2: Convert to fraction form
    26,082/35,996.81 = 16,011.27/x
  3. Step 3: Cross multiply
    26,082x = 35,996.81 × 16,011.27
  4. Step 4: Simplify right side
    26,082x = 576,354,563.99
  5. Step 5: Solve for x
    x = 576,354,563.99/26,082
  6. Step 6: Final answer
    x = 22,097.79

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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.