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Finding the Fourth Proportional to 16,546.64, 24,832.26 and 6,686.00

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Solution

The fourth proportional to 16,546.64, 24,832.26 and 6,686.00 is: 10,033.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,546.64 : 24,832.26 = 6,686.00 : x
  2. Step 2: Convert to fraction form
    16,546.64/24,832.26 = 6,686.00/x
  3. Step 3: Cross multiply
    16,546.64x = 24,832.26 × 6,686.00
  4. Step 4: Simplify right side
    16,546.64x = 166,028,411.56
  5. Step 5: Solve for x
    x = 166,028,411.56/16,546.64
  6. Step 6: Final answer
    x = 10,033.97

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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.