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Finding the Fourth Proportional to 12,783.26, 19,174.97 and 4,463.27

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Solution

The fourth proportional to 12,783.26, 19,174.97 and 4,463.27 is: 6,694.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,783.26 : 19,174.97 = 4,463.27 : x
  2. Step 2: Convert to fraction form
    12,783.26/19,174.97 = 4,463.27/x
  3. Step 3: Cross multiply
    12,783.26x = 19,174.97 × 4,463.27
  4. Step 4: Simplify right side
    12,783.26x = 85,583,093.97
  5. Step 5: Solve for x
    x = 85,583,093.97/12,783.26
  6. Step 6: Final answer
    x = 6,694.94

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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.