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Finding the Fourth Proportional to 18,186.26, 27,262.85 and 6,496.74

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Solution

The fourth proportional to 18,186.26, 27,262.85 and 6,496.74 is: 9,739.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,186.26 : 27,262.85 = 6,496.74 : x
  2. Step 2: Convert to fraction form
    18,186.26/27,262.85 = 6,496.74/x
  3. Step 3: Cross multiply
    18,186.26x = 27,262.85 × 6,496.74
  4. Step 4: Simplify right side
    18,186.26x = 177,119,615.63
  5. Step 5: Solve for x
    x = 177,119,615.63/18,186.26
  6. Step 6: Final answer
    x = 9,739.20

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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.