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Finding the Fourth Proportional to 16,015.98, 22,102.09 and 8,942.65

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Solution

The fourth proportional to 16,015.98, 22,102.09 and 8,942.65 is: 12,340.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,015.98 : 22,102.09 = 8,942.65 : x
  2. Step 2: Convert to fraction form
    16,015.98/22,102.09 = 8,942.65/x
  3. Step 3: Cross multiply
    16,015.98x = 22,102.09 × 8,942.65
  4. Step 4: Simplify right side
    16,015.98x = 197,651,255.14
  5. Step 5: Solve for x
    x = 197,651,255.14/16,015.98
  6. Step 6: Final answer
    x = 12,340.88

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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.