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Finding the Fourth Proportional to 27,418.84, 41,085.16 and 21,194.09

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Solution

The fourth proportional to 27,418.84, 41,085.16 and 21,194.09 is: 31,757.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,418.84 : 41,085.16 = 21,194.09 : x
  2. Step 2: Convert to fraction form
    27,418.84/41,085.16 = 21,194.09/x
  3. Step 3: Cross multiply
    27,418.84x = 41,085.16 × 21,194.09
  4. Step 4: Simplify right side
    27,418.84x = 870,762,474.36
  5. Step 5: Solve for x
    x = 870,762,474.36/27,418.84
  6. Step 6: Final answer
    x = 31,757.82

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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.