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Finding the Fourth Proportional to 12,832.69, 19,249.03 and 4,828.96

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Solution

The fourth proportional to 12,832.69, 19,249.03 and 4,828.96 is: 7,243.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,832.69 : 19,249.03 = 4,828.96 : x
  2. Step 2: Convert to fraction form
    12,832.69/19,249.03 = 4,828.96/x
  3. Step 3: Cross multiply
    12,832.69x = 19,249.03 × 4,828.96
  4. Step 4: Simplify right side
    12,832.69x = 92,952,735.71
  5. Step 5: Solve for x
    x = 92,952,735.71/12,832.69
  6. Step 6: Final answer
    x = 7,243.44

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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.