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Finding the Fourth Proportional to 11,997.54, 16,568.01 and 9,198.18

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Solution

The fourth proportional to 11,997.54, 16,568.01 and 9,198.18 is: 12,702.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,997.54 : 16,568.01 = 9,198.18 : x
  2. Step 2: Convert to fraction form
    11,997.54/16,568.01 = 9,198.18/x
  3. Step 3: Cross multiply
    11,997.54x = 16,568.01 × 9,198.18
  4. Step 4: Simplify right side
    11,997.54x = 152,395,538.22
  5. Step 5: Solve for x
    x = 152,395,538.22/11,997.54
  6. Step 6: Final answer
    x = 12,702.23

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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.