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Finding the Fourth Proportional to 11,853.27, 16,432.41 and 11,221.24

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Solution

The fourth proportional to 11,853.27, 16,432.41 and 11,221.24 is: 15,556.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,853.27 : 16,432.41 = 11,221.24 : x
  2. Step 2: Convert to fraction form
    11,853.27/16,432.41 = 11,221.24/x
  3. Step 3: Cross multiply
    11,853.27x = 16,432.41 × 11,221.24
  4. Step 4: Simplify right side
    11,853.27x = 184,392,016.39
  5. Step 5: Solve for x
    x = 184,392,016.39/11,853.27
  6. Step 6: Final answer
    x = 15,556.21

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.