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Finding the Fourth Proportional to 16,500.40, 24,759.12 and 7,736.20

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Solution

The fourth proportional to 16,500.40, 24,759.12 and 7,736.20 is: 11,608.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,500.40 : 24,759.12 = 7,736.20 : x
  2. Step 2: Convert to fraction form
    16,500.40/24,759.12 = 7,736.20/x
  3. Step 3: Cross multiply
    16,500.40x = 24,759.12 × 7,736.20
  4. Step 4: Simplify right side
    16,500.40x = 191,541,504.14
  5. Step 5: Solve for x
    x = 191,541,504.14/16,500.40
  6. Step 6: Final answer
    x = 11,608.29

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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.