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Finding the Fourth Proportional to 27,697.98, 41,545.59 and 10,166.43

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Solution

The fourth proportional to 27,697.98, 41,545.59 and 10,166.43 is: 15,249.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,697.98 : 41,545.59 = 10,166.43 : x
  2. Step 2: Convert to fraction form
    27,697.98/41,545.59 = 10,166.43/x
  3. Step 3: Cross multiply
    27,697.98x = 41,545.59 × 10,166.43
  4. Step 4: Simplify right side
    27,697.98x = 422,370,332.54
  5. Step 5: Solve for x
    x = 422,370,332.54/27,697.98
  6. Step 6: Final answer
    x = 15,249.14

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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.