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Finding the Fourth Proportional to 31,638.69, 43,658.46 and 17,491.23

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Solution

The fourth proportional to 31,638.69, 43,658.46 and 17,491.23 is: 24,136.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,638.69 : 43,658.46 = 17,491.23 : x
  2. Step 2: Convert to fraction form
    31,638.69/43,658.46 = 17,491.23/x
  3. Step 3: Cross multiply
    31,638.69x = 43,658.46 × 17,491.23
  4. Step 4: Simplify right side
    31,638.69x = 763,640,165.31
  5. Step 5: Solve for x
    x = 763,640,165.31/31,638.69
  6. Step 6: Final answer
    x = 24,136.28

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