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Finding the Fourth Proportional to 27,657.36, 41,447.16 and 12,042.24

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Solution

The fourth proportional to 27,657.36, 41,447.16 and 12,042.24 is: 18,046.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,657.36 : 41,447.16 = 12,042.24 : x
  2. Step 2: Convert to fraction form
    27,657.36/41,447.16 = 12,042.24/x
  3. Step 3: Cross multiply
    27,657.36x = 41,447.16 × 12,042.24
  4. Step 4: Simplify right side
    27,657.36x = 499,116,648.04
  5. Step 5: Solve for x
    x = 499,116,648.04/27,657.36
  6. Step 6: Final answer
    x = 18,046.43

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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.