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Finding the Fourth Proportional to 18,536.16, 27,786.96 and 6,846.24

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Solution

The fourth proportional to 18,536.16, 27,786.96 and 6,846.24 is: 10,262.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,536.16 : 27,786.96 = 6,846.24 : x
  2. Step 2: Convert to fraction form
    18,536.16/27,786.96 = 6,846.24/x
  3. Step 3: Cross multiply
    18,536.16x = 27,786.96 × 6,846.24
  4. Step 4: Simplify right side
    18,536.16x = 190,236,197.03
  5. Step 5: Solve for x
    x = 190,236,197.03/18,536.16
  6. Step 6: Final answer
    x = 10,262.98

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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.