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Finding the Fourth Proportional to 11,192.80, 16,789.20 and 9,929.20

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Solution

The fourth proportional to 11,192.80, 16,789.20 and 9,929.20 is: 14,893.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,192.80 : 16,789.20 = 9,929.20 : x
  2. Step 2: Convert to fraction form
    11,192.80/16,789.20 = 9,929.20/x
  3. Step 3: Cross multiply
    11,192.80x = 16,789.20 × 9,929.20
  4. Step 4: Simplify right side
    11,192.80x = 166,703,324.64
  5. Step 5: Solve for x
    x = 166,703,324.64/11,192.80
  6. Step 6: Final answer
    x = 14,893.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.