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Finding the Fourth Proportional to 12,179.28, 16,801.92 and 7,143.80

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Solution

The fourth proportional to 12,179.28, 16,801.92 and 7,143.80 is: 9,855.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,179.28 : 16,801.92 = 7,143.80 : x
  2. Step 2: Convert to fraction form
    12,179.28/16,801.92 = 7,143.80/x
  3. Step 3: Cross multiply
    12,179.28x = 16,801.92 × 7,143.80
  4. Step 4: Simplify right side
    12,179.28x = 120,029,556.10
  5. Step 5: Solve for x
    x = 120,029,556.10/12,179.28
  6. Step 6: Final answer
    x = 9,855.23

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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.