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Finding the Fourth Proportional to 17,640.67, 24,344.63 and 9,683.41

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Solution

The fourth proportional to 17,640.67, 24,344.63 and 9,683.41 is: 13,363.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,640.67 : 24,344.63 = 9,683.41 : x
  2. Step 2: Convert to fraction form
    17,640.67/24,344.63 = 9,683.41/x
  3. Step 3: Cross multiply
    17,640.67x = 24,344.63 × 9,683.41
  4. Step 4: Simplify right side
    17,640.67x = 235,739,033.59
  5. Step 5: Solve for x
    x = 235,739,033.59/17,640.67
  6. Step 6: Final answer
    x = 13,363.38

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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.