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Finding the Fourth Proportional to 18,462.64, 27,694.92 and 4,611.76

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Solution

The fourth proportional to 18,462.64, 27,694.92 and 4,611.76 is: 6,917.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,462.64 : 27,694.92 = 4,611.76 : x
  2. Step 2: Convert to fraction form
    18,462.64/27,694.92 = 4,611.76/x
  3. Step 3: Cross multiply
    18,462.64x = 27,694.92 × 4,611.76
  4. Step 4: Simplify right side
    18,462.64x = 127,722,324.26
  5. Step 5: Solve for x
    x = 127,722,324.26/18,462.64
  6. Step 6: Final answer
    x = 6,917.88

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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.