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Finding the Fourth Proportional to 17,127.86, 23,640.39 and 11,149.11

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Solution

The fourth proportional to 17,127.86, 23,640.39 and 11,149.11 is: 15,388.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,127.86 : 23,640.39 = 11,149.11 : x
  2. Step 2: Convert to fraction form
    17,127.86/23,640.39 = 11,149.11/x
  3. Step 3: Cross multiply
    17,127.86x = 23,640.39 × 11,149.11
  4. Step 4: Simplify right side
    17,127.86x = 263,569,308.55
  5. Step 5: Solve for x
    x = 263,569,308.55/17,127.86
  6. Step 6: Final answer
    x = 15,388.34

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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.