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Finding the Fourth Proportional to 27,736, 38,275.84 and 17,800

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Solution

The fourth proportional to 27,736, 38,275.84 and 17,800 is: 24,564.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,736 : 38,275.84 = 17,800 : x
  2. Step 2: Convert to fraction form
    27,736/38,275.84 = 17,800/x
  3. Step 3: Cross multiply
    27,736x = 38,275.84 × 17,800
  4. Step 4: Simplify right side
    27,736x = 681,309,952.00
  5. Step 5: Solve for x
    x = 681,309,952.00/27,736
  6. Step 6: Final answer
    x = 24,564.10

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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.