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Finding the Fourth Proportional to 20,806.97, 28,713.56 and 11,854.49

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Solution

The fourth proportional to 20,806.97, 28,713.56 and 11,854.49 is: 16,359.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,806.97 : 28,713.56 = 11,854.49 : x
  2. Step 2: Convert to fraction form
    20,806.97/28,713.56 = 11,854.49/x
  3. Step 3: Cross multiply
    20,806.97x = 28,713.56 × 11,854.49
  4. Step 4: Simplify right side
    20,806.97x = 340,384,407.04
  5. Step 5: Solve for x
    x = 340,384,407.04/20,806.97
  6. Step 6: Final answer
    x = 16,359.16

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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.