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Finding the Fourth Proportional to 20,164.26, 27,826.80 and 12,206.54

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Solution

The fourth proportional to 20,164.26, 27,826.80 and 12,206.54 is: 16,845.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,164.26 : 27,826.80 = 12,206.54 : x
  2. Step 2: Convert to fraction form
    20,164.26/27,826.80 = 12,206.54/x
  3. Step 3: Cross multiply
    20,164.26x = 27,826.80 × 12,206.54
  4. Step 4: Simplify right side
    20,164.26x = 339,668,947.27
  5. Step 5: Solve for x
    x = 339,668,947.27/20,164.26
  6. Step 6: Final answer
    x = 16,845.10

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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.