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Finding the Fourth Proportional to 27,778.32, 41,648.04 and 10,243.44

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Solution

The fourth proportional to 27,778.32, 41,648.04 and 10,243.44 is: 15,357.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,778.32 : 41,648.04 = 10,243.44 : x
  2. Step 2: Convert to fraction form
    27,778.32/41,648.04 = 10,243.44/x
  3. Step 3: Cross multiply
    27,778.32x = 41,648.04 × 10,243.44
  4. Step 4: Simplify right side
    27,778.32x = 426,619,198.86
  5. Step 5: Solve for x
    x = 426,619,198.86/27,778.32
  6. Step 6: Final answer
    x = 15,357.99

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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.