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Finding the Fourth Proportional to 11,999.44, 16,559.80 and 8,022.16

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Solution

The fourth proportional to 11,999.44, 16,559.80 and 8,022.16 is: 11,070.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,999.44 : 16,559.80 = 8,022.16 : x
  2. Step 2: Convert to fraction form
    11,999.44/16,559.80 = 8,022.16/x
  3. Step 3: Cross multiply
    11,999.44x = 16,559.80 × 8,022.16
  4. Step 4: Simplify right side
    11,999.44x = 132,845,365.17
  5. Step 5: Solve for x
    x = 132,845,365.17/11,999.44
  6. Step 6: Final answer
    x = 11,070.96

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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.