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Finding the Fourth Proportional to 12,098.97, 16,687.52 and 8,113.16

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Solution

The fourth proportional to 12,098.97, 16,687.52 and 8,113.16 is: 11,190.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,098.97 : 16,687.52 = 8,113.16 : x
  2. Step 2: Convert to fraction form
    12,098.97/16,687.52 = 8,113.16/x
  3. Step 3: Cross multiply
    12,098.97x = 16,687.52 × 8,113.16
  4. Step 4: Simplify right side
    12,098.97x = 135,388,551.34
  5. Step 5: Solve for x
    x = 135,388,551.34/12,098.97
  6. Step 6: Final answer
    x = 11,190.09

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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.