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Finding the Fourth Proportional to 27,796, 41,701.80 and 11,167.71

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Solution

The fourth proportional to 27,796, 41,701.80 and 11,167.71 is: 16,754.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,796 : 41,701.80 = 11,167.71 : x
  2. Step 2: Convert to fraction form
    27,796/41,701.80 = 11,167.71/x
  3. Step 3: Cross multiply
    27,796x = 41,701.80 × 11,167.71
  4. Step 4: Simplify right side
    27,796x = 465,713,608.88
  5. Step 5: Solve for x
    x = 465,713,608.88/27,796
  6. Step 6: Final answer
    x = 16,754.70

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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.