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Finding the Fourth Proportional to 17,046.52, 23,512.08 and 11,378.41

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Solution

The fourth proportional to 17,046.52, 23,512.08 and 11,378.41 is: 15,694.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,046.52 : 23,512.08 = 11,378.41 : x
  2. Step 2: Convert to fraction form
    17,046.52/23,512.08 = 11,378.41/x
  3. Step 3: Cross multiply
    17,046.52x = 23,512.08 × 11,378.41
  4. Step 4: Simplify right side
    17,046.52x = 267,530,086.19
  5. Step 5: Solve for x
    x = 267,530,086.19/17,046.52
  6. Step 6: Final answer
    x = 15,694.12

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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.