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Finding the Fourth Proportional to 17,131.69, 23,640.43 and 10,416.39

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Solution

The fourth proportional to 17,131.69, 23,640.43 and 10,416.39 is: 14,373.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,131.69 : 23,640.43 = 10,416.39 : x
  2. Step 2: Convert to fraction form
    17,131.69/23,640.43 = 10,416.39/x
  3. Step 3: Cross multiply
    17,131.69x = 23,640.43 × 10,416.39
  4. Step 4: Simplify right side
    17,131.69x = 246,247,938.65
  5. Step 5: Solve for x
    x = 246,247,938.65/17,131.69
  6. Step 6: Final answer
    x = 14,373.83

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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.