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Finding the Fourth Proportional to 12,524.27, 17,191.37 and 11,076.21

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Solution

The fourth proportional to 12,524.27, 17,191.37 and 11,076.21 is: 15,203.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,524.27 : 17,191.37 = 11,076.21 : x
  2. Step 2: Convert to fraction form
    12,524.27/17,191.37 = 11,076.21/x
  3. Step 3: Cross multiply
    12,524.27x = 17,191.37 × 11,076.21
  4. Step 4: Simplify right side
    12,524.27x = 190,415,252.00
  5. Step 5: Solve for x
    x = 190,415,252.00/12,524.27
  6. Step 6: Final answer
    x = 15,203.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.