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Finding the Fourth Proportional to 18,217.68, 27,321.12 and 7,827

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Solution

The fourth proportional to 18,217.68, 27,321.12 and 7,827 is: 11,738.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,217.68 : 27,321.12 = 7,827 : x
  2. Step 2: Convert to fraction form
    18,217.68/27,321.12 = 7,827/x
  3. Step 3: Cross multiply
    18,217.68x = 27,321.12 × 7,827
  4. Step 4: Simplify right side
    18,217.68x = 213,842,406.24
  5. Step 5: Solve for x
    x = 213,842,406.24/18,217.68
  6. Step 6: Final answer
    x = 11,738.18

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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.