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Finding the Fourth Proportional to 12,028.53, 16,601.31 and 8,682.42

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Solution

The fourth proportional to 12,028.53, 16,601.31 and 8,682.42 is: 11,983.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,028.53 : 16,601.31 = 8,682.42 : x
  2. Step 2: Convert to fraction form
    12,028.53/16,601.31 = 8,682.42/x
  3. Step 3: Cross multiply
    12,028.53x = 16,601.31 × 8,682.42
  4. Step 4: Simplify right side
    12,028.53x = 144,139,545.97
  5. Step 5: Solve for x
    x = 144,139,545.97/12,028.53
  6. Step 6: Final answer
    x = 11,983.14

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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.