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Finding the Fourth Proportional to 27,260.95, 40,891.37 and 8,542.42

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Solution

The fourth proportional to 27,260.95, 40,891.37 and 8,542.42 is: 12,813.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,260.95 : 40,891.37 = 8,542.42 : x
  2. Step 2: Convert to fraction form
    27,260.95/40,891.37 = 8,542.42/x
  3. Step 3: Cross multiply
    27,260.95x = 40,891.37 × 8,542.42
  4. Step 4: Simplify right side
    27,260.95x = 349,311,009.75
  5. Step 5: Solve for x
    x = 349,311,009.75/27,260.95
  6. Step 6: Final answer
    x = 12,813.61

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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.