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Finding the Fourth Proportional to 27,676.98, 38,194.32 and 15,741.15

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Solution

The fourth proportional to 27,676.98, 38,194.32 and 15,741.15 is: 21,722.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,676.98 : 38,194.32 = 15,741.15 : x
  2. Step 2: Convert to fraction form
    27,676.98/38,194.32 = 15,741.15/x
  3. Step 3: Cross multiply
    27,676.98x = 38,194.32 × 15,741.15
  4. Step 4: Simplify right side
    27,676.98x = 601,222,520.27
  5. Step 5: Solve for x
    x = 601,222,520.27/27,676.98
  6. Step 6: Final answer
    x = 21,722.84

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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.