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Finding the Fourth Proportional to 11,998.44, 16,558.42 and 8,021.16

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Solution

The fourth proportional to 11,998.44, 16,558.42 and 8,021.16 is: 11,069.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,998.44 : 16,558.42 = 8,021.16 : x
  2. Step 2: Convert to fraction form
    11,998.44/16,558.42 = 8,021.16/x
  3. Step 3: Cross multiply
    11,998.44x = 16,558.42 × 8,021.16
  4. Step 4: Simplify right side
    11,998.44x = 132,817,736.17
  5. Step 5: Solve for x
    x = 132,817,736.17/11,998.44
  6. Step 6: Final answer
    x = 11,069.58

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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.