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Finding the Fourth Proportional to 18,500.64, 27,752.10 and 6,822

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Solution

The fourth proportional to 18,500.64, 27,752.10 and 6,822 is: 10,233.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,500.64 : 27,752.10 = 6,822 : x
  2. Step 2: Convert to fraction form
    18,500.64/27,752.10 = 6,822/x
  3. Step 3: Cross multiply
    18,500.64x = 27,752.10 × 6,822
  4. Step 4: Simplify right side
    18,500.64x = 189,324,826.20
  5. Step 5: Solve for x
    x = 189,324,826.20/18,500.64
  6. Step 6: Final answer
    x = 10,233.42

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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.