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Finding the Fourth Proportional to 12,791.69, 19,187.54 and 6,212.24

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Solution

The fourth proportional to 12,791.69, 19,187.54 and 6,212.24 is: 9,318.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,791.69 : 19,187.54 = 6,212.24 : x
  2. Step 2: Convert to fraction form
    12,791.69/19,187.54 = 6,212.24/x
  3. Step 3: Cross multiply
    12,791.69x = 19,187.54 × 6,212.24
  4. Step 4: Simplify right side
    12,791.69x = 119,197,476.49
  5. Step 5: Solve for x
    x = 119,197,476.49/12,791.69
  6. Step 6: Final answer
    x = 9,318.36

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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.