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Finding the Fourth Proportional to 20,190.25, 27,862.55 and 11,806.75

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Solution

The fourth proportional to 20,190.25, 27,862.55 and 11,806.75 is: 16,293.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,190.25 : 27,862.55 = 11,806.75 : x
  2. Step 2: Convert to fraction form
    20,190.25/27,862.55 = 11,806.75/x
  3. Step 3: Cross multiply
    20,190.25x = 27,862.55 × 11,806.75
  4. Step 4: Simplify right side
    20,190.25x = 328,966,162.21
  5. Step 5: Solve for x
    x = 328,966,162.21/20,190.25
  6. Step 6: Final answer
    x = 16,293.32

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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.