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Finding the Fourth Proportional to 11,992.31, 17,954.54 and 6,357.14

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Solution

The fourth proportional to 11,992.31, 17,954.54 and 6,357.14 is: 9,517.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,992.31 : 17,954.54 = 6,357.14 : x
  2. Step 2: Convert to fraction form
    11,992.31/17,954.54 = 6,357.14/x
  3. Step 3: Cross multiply
    11,992.31x = 17,954.54 × 6,357.14
  4. Step 4: Simplify right side
    11,992.31x = 114,139,524.42
  5. Step 5: Solve for x
    x = 114,139,524.42/11,992.31
  6. Step 6: Final answer
    x = 9,517.73

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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.