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Finding the Fourth Proportional to 27,644.69, 41,467.08 and 8,410.61

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Solution

The fourth proportional to 27,644.69, 41,467.08 and 8,410.61 is: 12,615.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,644.69 : 41,467.08 = 8,410.61 : x
  2. Step 2: Convert to fraction form
    27,644.69/41,467.08 = 8,410.61/x
  3. Step 3: Cross multiply
    27,644.69x = 41,467.08 × 8,410.61
  4. Step 4: Simplify right side
    27,644.69x = 348,763,188.33
  5. Step 5: Solve for x
    x = 348,763,188.33/27,644.69
  6. Step 6: Final answer
    x = 12,615.92

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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.