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Finding the Fourth Proportional to 18,262.42, 27,381.26 and 7,162.18

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Solution

The fourth proportional to 18,262.42, 27,381.26 and 7,162.18 is: 10,738.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,262.42 : 27,381.26 = 7,162.18 : x
  2. Step 2: Convert to fraction form
    18,262.42/27,381.26 = 7,162.18/x
  3. Step 3: Cross multiply
    18,262.42x = 27,381.26 × 7,162.18
  4. Step 4: Simplify right side
    18,262.42x = 196,109,512.75
  5. Step 5: Solve for x
    x = 196,109,512.75/18,262.42
  6. Step 6: Final answer
    x = 10,738.42

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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.