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Finding the Fourth Proportional to 16,441.32, 24,651.14 and 5,906.06

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Solution

The fourth proportional to 16,441.32, 24,651.14 and 5,906.06 is: 8,855.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,441.32 : 24,651.14 = 5,906.06 : x
  2. Step 2: Convert to fraction form
    16,441.32/24,651.14 = 5,906.06/x
  3. Step 3: Cross multiply
    16,441.32x = 24,651.14 × 5,906.06
  4. Step 4: Simplify right side
    16,441.32x = 145,591,003.42
  5. Step 5: Solve for x
    x = 145,591,003.42/16,441.32
  6. Step 6: Final answer
    x = 8,855.19

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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.