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Finding the Fourth Proportional to 27,717.24, 41,575.86 and 6,940.74

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Solution

The fourth proportional to 27,717.24, 41,575.86 and 6,940.74 is: 10,411.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,717.24 : 41,575.86 = 6,940.74 : x
  2. Step 2: Convert to fraction form
    27,717.24/41,575.86 = 6,940.74/x
  3. Step 3: Cross multiply
    27,717.24x = 41,575.86 × 6,940.74
  4. Step 4: Simplify right side
    27,717.24x = 288,567,234.54
  5. Step 5: Solve for x
    x = 288,567,234.54/27,717.24
  6. Step 6: Final answer
    x = 10,411.11

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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.