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Finding the Fourth Proportional to 27,407.38, 41,115.36 and 11,612.44

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Solution

The fourth proportional to 27,407.38, 41,115.36 and 11,612.44 is: 17,420.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,407.38 : 41,115.36 = 11,612.44 : x
  2. Step 2: Convert to fraction form
    27,407.38/41,115.36 = 11,612.44/x
  3. Step 3: Cross multiply
    27,407.38x = 41,115.36 × 11,612.44
  4. Step 4: Simplify right side
    27,407.38x = 477,449,651.08
  5. Step 5: Solve for x
    x = 477,449,651.08/27,407.38
  6. Step 6: Final answer
    x = 17,420.48

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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.