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Finding the Fourth Proportional to 23,964.32, 35,949.57 and 8,165.07

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Solution

The fourth proportional to 23,964.32, 35,949.57 and 8,165.07 is: 12,248.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,964.32 : 35,949.57 = 8,165.07 : x
  2. Step 2: Convert to fraction form
    23,964.32/35,949.57 = 8,165.07/x
  3. Step 3: Cross multiply
    23,964.32x = 35,949.57 × 8,165.07
  4. Step 4: Simplify right side
    23,964.32x = 293,530,755.52
  5. Step 5: Solve for x
    x = 293,530,755.52/23,964.32
  6. Step 6: Final answer
    x = 12,248.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.