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Finding the Fourth Proportional to 27,983.36, 38,621.87 and 17,911.28

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Solution

The fourth proportional to 27,983.36, 38,621.87 and 17,911.28 is: 24,720.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,983.36 : 38,621.87 = 17,911.28 : x
  2. Step 2: Convert to fraction form
    27,983.36/38,621.87 = 17,911.28/x
  3. Step 3: Cross multiply
    27,983.36x = 38,621.87 × 17,911.28
  4. Step 4: Simplify right side
    27,983.36x = 691,766,845.03
  5. Step 5: Solve for x
    x = 691,766,845.03/27,983.36
  6. Step 6: Final answer
    x = 24,720.65

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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.