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Finding the Fourth Proportional to 27,414.39, 41,127.72 and 8,440.95

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Solution

The fourth proportional to 27,414.39, 41,127.72 and 8,440.95 is: 12,663.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,414.39 : 41,127.72 = 8,440.95 : x
  2. Step 2: Convert to fraction form
    27,414.39/41,127.72 = 8,440.95/x
  3. Step 3: Cross multiply
    27,414.39x = 41,127.72 × 8,440.95
  4. Step 4: Simplify right side
    27,414.39x = 347,157,028.13
  5. Step 5: Solve for x
    x = 347,157,028.13/27,414.39
  6. Step 6: Final answer
    x = 12,663.31

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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.