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Finding the Fourth Proportional to 16,546.66, 24,809.97 and 6,674.40

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Solution

The fourth proportional to 16,546.66, 24,809.97 and 6,674.40 is: 10,007.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,546.66 : 24,809.97 = 6,674.40 : x
  2. Step 2: Convert to fraction form
    16,546.66/24,809.97 = 6,674.40/x
  3. Step 3: Cross multiply
    16,546.66x = 24,809.97 × 6,674.40
  4. Step 4: Simplify right side
    16,546.66x = 165,591,727.29
  5. Step 5: Solve for x
    x = 165,591,727.29/16,546.66
  6. Step 6: Final answer
    x = 10,007.56

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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.