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Finding the Fourth Proportional to 18,446.80, 27,664.80 and 6,599.20

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Solution

The fourth proportional to 18,446.80, 27,664.80 and 6,599.20 is: 9,896.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,446.80 : 27,664.80 = 6,599.20 : x
  2. Step 2: Convert to fraction form
    18,446.80/27,664.80 = 6,599.20/x
  3. Step 3: Cross multiply
    18,446.80x = 27,664.80 × 6,599.20
  4. Step 4: Simplify right side
    18,446.80x = 182,565,548.16
  5. Step 5: Solve for x
    x = 182,565,548.16/18,446.80
  6. Step 6: Final answer
    x = 9,896.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.