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Finding the Fourth Proportional to 18,538.93, 27,791.12 and 9,294.13

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Solution

The fourth proportional to 18,538.93, 27,791.12 and 9,294.13 is: 13,932.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,538.93 : 27,791.12 = 9,294.13 : x
  2. Step 2: Convert to fraction form
    18,538.93/27,791.12 = 9,294.13/x
  3. Step 3: Cross multiply
    18,538.93x = 27,791.12 × 9,294.13
  4. Step 4: Simplify right side
    18,538.93x = 258,294,235.65
  5. Step 5: Solve for x
    x = 258,294,235.65/18,538.93
  6. Step 6: Final answer
    x = 13,932.53

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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.