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Finding the Fourth Proportional to 12,447.94, 17,178.24 and 7,142.62

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Solution

The fourth proportional to 12,447.94, 17,178.24 and 7,142.62 is: 9,856.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,447.94 : 17,178.24 = 7,142.62 : x
  2. Step 2: Convert to fraction form
    12,447.94/17,178.24 = 7,142.62/x
  3. Step 3: Cross multiply
    12,447.94x = 17,178.24 × 7,142.62
  4. Step 4: Simplify right side
    12,447.94x = 122,697,640.59
  5. Step 5: Solve for x
    x = 122,697,640.59/12,447.94
  6. Step 6: Final answer
    x = 9,856.86

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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.