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Finding the Fourth Proportional to 20,494.88, 28,283.00 and 11,882.75

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Solution

The fourth proportional to 20,494.88, 28,283.00 and 11,882.75 is: 16,398.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,494.88 : 28,283.00 = 11,882.75 : x
  2. Step 2: Convert to fraction form
    20,494.88/28,283.00 = 11,882.75/x
  3. Step 3: Cross multiply
    20,494.88x = 28,283.00 × 11,882.75
  4. Step 4: Simplify right side
    20,494.88x = 336,079,617.42
  5. Step 5: Solve for x
    x = 336,079,617.42/20,494.88
  6. Step 6: Final answer
    x = 16,398.23

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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.