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Finding the Fourth Proportional to 12,951.23, 17,872.26 and 7,286.09

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Solution

The fourth proportional to 12,951.23, 17,872.26 and 7,286.09 is: 10,054.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,951.23 : 17,872.26 = 7,286.09 : x
  2. Step 2: Convert to fraction form
    12,951.23/17,872.26 = 7,286.09/x
  3. Step 3: Cross multiply
    12,951.23x = 17,872.26 × 7,286.09
  4. Step 4: Simplify right side
    12,951.23x = 130,218,894.86
  5. Step 5: Solve for x
    x = 130,218,894.86/12,951.23
  6. Step 6: Final answer
    x = 10,054.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.