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Finding the Fourth Proportional to 12,546.27, 17,314.22 and 7,241.38

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Solution

The fourth proportional to 12,546.27, 17,314.22 and 7,241.38 is: 9,993.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,546.27 : 17,314.22 = 7,241.38 : x
  2. Step 2: Convert to fraction form
    12,546.27/17,314.22 = 7,241.38/x
  3. Step 3: Cross multiply
    12,546.27x = 17,314.22 × 7,241.38
  4. Step 4: Simplify right side
    12,546.27x = 125,378,846.42
  5. Step 5: Solve for x
    x = 125,378,846.42/12,546.27
  6. Step 6: Final answer
    x = 9,993.32

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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.