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Finding the Fourth Proportional to 18,291, 27,401.44 and 10,873

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Solution

The fourth proportional to 18,291, 27,401.44 and 10,873 is: 16,288.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,291 : 27,401.44 = 10,873 : x
  2. Step 2: Convert to fraction form
    18,291/27,401.44 = 10,873/x
  3. Step 3: Cross multiply
    18,291x = 27,401.44 × 10,873
  4. Step 4: Simplify right side
    18,291x = 297,935,857.12
  5. Step 5: Solve for x
    x = 297,935,857.12/18,291
  6. Step 6: Final answer
    x = 16,288.66

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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.