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Finding the Fourth Proportional to 22,963.94, 31,687.79 and 12,893.48

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Solution

The fourth proportional to 22,963.94, 31,687.79 and 12,893.48 is: 17,791.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,963.94 : 31,687.79 = 12,893.48 : x
  2. Step 2: Convert to fraction form
    22,963.94/31,687.79 = 12,893.48/x
  3. Step 3: Cross multiply
    22,963.94x = 31,687.79 × 12,893.48
  4. Step 4: Simplify right side
    22,963.94x = 408,565,855.06
  5. Step 5: Solve for x
    x = 408,565,855.06/22,963.94
  6. Step 6: Final answer
    x = 17,791.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.