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Finding the Fourth Proportional to 27,138.80, 40,709.55 and 8,431.58

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Solution

The fourth proportional to 27,138.80, 40,709.55 and 8,431.58 is: 12,647.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,138.80 : 40,709.55 = 8,431.58 : x
  2. Step 2: Convert to fraction form
    27,138.80/40,709.55 = 8,431.58/x
  3. Step 3: Cross multiply
    27,138.80x = 40,709.55 × 8,431.58
  4. Step 4: Simplify right side
    27,138.80x = 343,245,960.98
  5. Step 5: Solve for x
    x = 343,245,960.98/27,138.80
  6. Step 6: Final answer
    x = 12,647.79

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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.