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Finding the Fourth Proportional to 23,965.97, 35,950.77 and 8,166.11

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Solution

The fourth proportional to 23,965.97, 35,950.77 and 8,166.11 is: 12,249.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,965.97 : 35,950.77 = 8,166.11 : x
  2. Step 2: Convert to fraction form
    23,965.97/35,950.77 = 8,166.11/x
  3. Step 3: Cross multiply
    23,965.97x = 35,950.77 × 8,166.11
  4. Step 4: Simplify right side
    23,965.97x = 293,577,762.65
  5. Step 5: Solve for x
    x = 293,577,762.65/23,965.97
  6. Step 6: Final answer
    x = 12,249.78

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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.