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Finding the Fourth Proportional to 11,691.72, 17,387.34 and 11,322.66

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Solution

The fourth proportional to 11,691.72, 17,387.34 and 11,322.66 is: 16,838.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,691.72 : 17,387.34 = 11,322.66 : x
  2. Step 2: Convert to fraction form
    11,691.72/17,387.34 = 11,322.66/x
  3. Step 3: Cross multiply
    11,691.72x = 17,387.34 × 11,322.66
  4. Step 4: Simplify right side
    11,691.72x = 196,870,939.12
  5. Step 5: Solve for x
    x = 196,870,939.12/11,691.72
  6. Step 6: Final answer
    x = 16,838.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.