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Finding the Fourth Proportional to 27,806.88, 41,716.80 and 9,087.78

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Solution

The fourth proportional to 27,806.88, 41,716.80 and 9,087.78 is: 13,633.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,806.88 : 41,716.80 = 9,087.78 : x
  2. Step 2: Convert to fraction form
    27,806.88/41,716.80 = 9,087.78/x
  3. Step 3: Cross multiply
    27,806.88x = 41,716.80 × 9,087.78
  4. Step 4: Simplify right side
    27,806.88x = 379,113,100.70
  5. Step 5: Solve for x
    x = 379,113,100.70/27,806.88
  6. Step 6: Final answer
    x = 13,633.79

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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.