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Finding the Fourth Proportional to 12,832.14, 19,248.89 and 4,067.74

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Solution

The fourth proportional to 12,832.14, 19,248.89 and 4,067.74 is: 6,101.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,832.14 : 19,248.89 = 4,067.74 : x
  2. Step 2: Convert to fraction form
    12,832.14/19,248.89 = 4,067.74/x
  3. Step 3: Cross multiply
    12,832.14x = 19,248.89 × 4,067.74
  4. Step 4: Simplify right side
    12,832.14x = 78,299,363.23
  5. Step 5: Solve for x
    x = 78,299,363.23/12,832.14
  6. Step 6: Final answer
    x = 6,101.82

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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.