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Finding the Fourth Proportional to 16,489.14, 24,736.86 and 6,629.22

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Solution

The fourth proportional to 16,489.14, 24,736.86 and 6,629.22 is: 9,945.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,489.14 : 24,736.86 = 6,629.22 : x
  2. Step 2: Convert to fraction form
    16,489.14/24,736.86 = 6,629.22/x
  3. Step 3: Cross multiply
    16,489.14x = 24,736.86 × 6,629.22
  4. Step 4: Simplify right side
    16,489.14x = 163,986,087.05
  5. Step 5: Solve for x
    x = 163,986,087.05/16,489.14
  6. Step 6: Final answer
    x = 9,945.10

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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.