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Finding the Fourth Proportional to 20,283.87, 27,989.70 and 11,669.82

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Solution

The fourth proportional to 20,283.87, 27,989.70 and 11,669.82 is: 16,103.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,283.87 : 27,989.70 = 11,669.82 : x
  2. Step 2: Convert to fraction form
    20,283.87/27,989.70 = 11,669.82/x
  3. Step 3: Cross multiply
    20,283.87x = 27,989.70 × 11,669.82
  4. Step 4: Simplify right side
    20,283.87x = 326,634,760.85
  5. Step 5: Solve for x
    x = 326,634,760.85/20,283.87
  6. Step 6: Final answer
    x = 16,103.18

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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.