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Finding the Fourth Proportional to 16,076.72, 22,179.24 and 9,786.80

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Solution

The fourth proportional to 16,076.72, 22,179.24 and 9,786.80 is: 13,501.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,076.72 : 22,179.24 = 9,786.80 : x
  2. Step 2: Convert to fraction form
    16,076.72/22,179.24 = 9,786.80/x
  3. Step 3: Cross multiply
    16,076.72x = 22,179.24 × 9,786.80
  4. Step 4: Simplify right side
    16,076.72x = 217,063,786.03
  5. Step 5: Solve for x
    x = 217,063,786.03/16,076.72
  6. Step 6: Final answer
    x = 13,501.75

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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.