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Finding the Fourth Proportional to 12,447.97, 17,178.57 and 7,143.82

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Solution

The fourth proportional to 12,447.97, 17,178.57 and 7,143.82 is: 9,858.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,447.97 : 17,178.57 = 7,143.82 : x
  2. Step 2: Convert to fraction form
    12,447.97/17,178.57 = 7,143.82/x
  3. Step 3: Cross multiply
    12,447.97x = 17,178.57 × 7,143.82
  4. Step 4: Simplify right side
    12,447.97x = 122,720,611.94
  5. Step 5: Solve for x
    x = 122,720,611.94/12,447.97
  6. Step 6: Final answer
    x = 9,858.68

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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.