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Finding the Fourth Proportional to 11,667.33, 17,486.37 and 9,192.38

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Solution

The fourth proportional to 11,667.33, 17,486.37 and 9,192.38 is: 13,777.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,667.33 : 17,486.37 = 9,192.38 : x
  2. Step 2: Convert to fraction form
    11,667.33/17,486.37 = 9,192.38/x
  3. Step 3: Cross multiply
    11,667.33x = 17,486.37 × 9,192.38
  4. Step 4: Simplify right side
    11,667.33x = 160,741,270.43
  5. Step 5: Solve for x
    x = 160,741,270.43/11,667.33
  6. Step 6: Final answer
    x = 13,777.04

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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.