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Finding the Fourth Proportional to 23,791.49, 35,687.49 and 9,747.91

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Solution

The fourth proportional to 23,791.49, 35,687.49 and 9,747.91 is: 14,621.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,791.49 : 35,687.49 = 9,747.91 : x
  2. Step 2: Convert to fraction form
    23,791.49/35,687.49 = 9,747.91/x
  3. Step 3: Cross multiply
    23,791.49x = 35,687.49 × 9,747.91
  4. Step 4: Simplify right side
    23,791.49x = 347,878,448.70
  5. Step 5: Solve for x
    x = 347,878,448.70/23,791.49
  6. Step 6: Final answer
    x = 14,621.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.