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Finding the Fourth Proportional to 12,747.14, 17,583.97 and 11,845.08

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Solution

The fourth proportional to 12,747.14, 17,583.97 and 11,845.08 is: 16,339.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,747.14 : 17,583.97 = 11,845.08 : x
  2. Step 2: Convert to fraction form
    12,747.14/17,583.97 = 11,845.08/x
  3. Step 3: Cross multiply
    12,747.14x = 17,583.97 × 11,845.08
  4. Step 4: Simplify right side
    12,747.14x = 208,283,531.37
  5. Step 5: Solve for x
    x = 208,283,531.37/12,747.14
  6. Step 6: Final answer
    x = 16,339.63

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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.