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Finding the Fourth Proportional to 18,381.17, 27,582.51 and 7,286.47

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Solution

The fourth proportional to 18,381.17, 27,582.51 and 7,286.47 is: 10,933.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,381.17 : 27,582.51 = 7,286.47 : x
  2. Step 2: Convert to fraction form
    18,381.17/27,582.51 = 7,286.47/x
  3. Step 3: Cross multiply
    18,381.17x = 27,582.51 × 7,286.47
  4. Step 4: Simplify right side
    18,381.17x = 200,979,118.55
  5. Step 5: Solve for x
    x = 200,979,118.55/18,381.17
  6. Step 6: Final answer
    x = 10,933.97

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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.