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Finding the Fourth Proportional to 18,186.48, 27,286.38 and 7,659.15

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Solution

The fourth proportional to 18,186.48, 27,286.38 and 7,659.15 is: 11,491.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,186.48 : 27,286.38 = 7,659.15 : x
  2. Step 2: Convert to fraction form
    18,186.48/27,286.38 = 7,659.15/x
  3. Step 3: Cross multiply
    18,186.48x = 27,286.38 × 7,659.15
  4. Step 4: Simplify right side
    18,186.48x = 208,990,399.59
  5. Step 5: Solve for x
    x = 208,990,399.59/18,186.48
  6. Step 6: Final answer
    x = 11,491.53

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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.