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Finding the Fourth Proportional to 12,131.82, 16,744.05 and 11,577.78

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Solution

The fourth proportional to 12,131.82, 16,744.05 and 11,577.78 is: 15,979.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,131.82 : 16,744.05 = 11,577.78 : x
  2. Step 2: Convert to fraction form
    12,131.82/16,744.05 = 11,577.78/x
  3. Step 3: Cross multiply
    12,131.82x = 16,744.05 × 11,577.78
  4. Step 4: Simplify right side
    12,131.82x = 193,858,927.21
  5. Step 5: Solve for x
    x = 193,858,927.21/12,131.82
  6. Step 6: Final answer
    x = 15,979.38

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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.