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Finding the Fourth Proportional to 27,826.42, 41,687.34 and 13,770.13

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Solution

The fourth proportional to 27,826.42, 41,687.34 and 13,770.13 is: 20,629.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,826.42 : 41,687.34 = 13,770.13 : x
  2. Step 2: Convert to fraction form
    27,826.42/41,687.34 = 13,770.13/x
  3. Step 3: Cross multiply
    27,826.42x = 41,687.34 × 13,770.13
  4. Step 4: Simplify right side
    27,826.42x = 574,040,091.15
  5. Step 5: Solve for x
    x = 574,040,091.15/27,826.42
  6. Step 6: Final answer
    x = 20,629.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.