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Finding the Fourth Proportional to 12,758.31, 19,134.68 and 3,992.09

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Solution

The fourth proportional to 12,758.31, 19,134.68 and 3,992.09 is: 5,987.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,758.31 : 19,134.68 = 3,992.09 : x
  2. Step 2: Convert to fraction form
    12,758.31/19,134.68 = 3,992.09/x
  3. Step 3: Cross multiply
    12,758.31x = 19,134.68 × 3,992.09
  4. Step 4: Simplify right side
    12,758.31x = 76,387,249.05
  5. Step 5: Solve for x
    x = 76,387,249.05/12,758.31
  6. Step 6: Final answer
    x = 5,987.25

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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.