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Finding the Fourth Proportional to 27,846.72, 41,770.08 and 13,986

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Solution

The fourth proportional to 27,846.72, 41,770.08 and 13,986 is: 20,979

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,846.72 : 41,770.08 = 13,986 : x
  2. Step 2: Convert to fraction form
    27,846.72/41,770.08 = 13,986/x
  3. Step 3: Cross multiply
    27,846.72x = 41,770.08 × 13,986
  4. Step 4: Simplify right side
    27,846.72x = 584,196,338.88
  5. Step 5: Solve for x
    x = 584,196,338.88/27,846.72
  6. Step 6: Final answer
    x = 20,979

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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.