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Finding the Fourth Proportional to 27,687.84, 41,546.36 and 12,116.40

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Solution

The fourth proportional to 27,687.84, 41,546.36 and 12,116.40 is: 18,180.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,687.84 : 41,546.36 = 12,116.40 : x
  2. Step 2: Convert to fraction form
    27,687.84/41,546.36 = 12,116.40/x
  3. Step 3: Cross multiply
    27,687.84x = 41,546.36 × 12,116.40
  4. Step 4: Simplify right side
    27,687.84x = 503,392,316.30
  5. Step 5: Solve for x
    x = 503,392,316.30/27,687.84
  6. Step 6: Final answer
    x = 18,180.99

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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.