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Finding the Fourth Proportional to 16,546.56, 24,813.36 and 6,690.48

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Solution

The fourth proportional to 16,546.56, 24,813.36 and 6,690.48 is: 10,033.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,546.56 : 24,813.36 = 6,690.48 : x
  2. Step 2: Convert to fraction form
    16,546.56/24,813.36 = 6,690.48/x
  3. Step 3: Cross multiply
    16,546.56x = 24,813.36 × 6,690.48
  4. Step 4: Simplify right side
    16,546.56x = 166,013,288.81
  5. Step 5: Solve for x
    x = 166,013,288.81/16,546.56
  6. Step 6: Final answer
    x = 10,033.10

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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.