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Finding the Fourth Proportional to 18,536.67, 27,770.16 and 9,165.78

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Solution

The fourth proportional to 18,536.67, 27,770.16 and 9,165.78 is: 13,731.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,536.67 : 27,770.16 = 9,165.78 : x
  2. Step 2: Convert to fraction form
    18,536.67/27,770.16 = 9,165.78/x
  3. Step 3: Cross multiply
    18,536.67x = 27,770.16 × 9,165.78
  4. Step 4: Simplify right side
    18,536.67x = 254,535,177.12
  5. Step 5: Solve for x
    x = 254,535,177.12/18,536.67
  6. Step 6: Final answer
    x = 13,731.44

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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.