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Finding the Fourth Proportional to 27,817.56, 38,367.90 and 20,266.20

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Solution

The fourth proportional to 27,817.56, 38,367.90 and 20,266.20 is: 27,952.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,817.56 : 38,367.90 = 20,266.20 : x
  2. Step 2: Convert to fraction form
    27,817.56/38,367.90 = 20,266.20/x
  3. Step 3: Cross multiply
    27,817.56x = 38,367.90 × 20,266.20
  4. Step 4: Simplify right side
    27,817.56x = 777,571,534.98
  5. Step 5: Solve for x
    x = 777,571,534.98/27,817.56
  6. Step 6: Final answer
    x = 27,952.54

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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.