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Finding the Fourth Proportional to 27,677.14, 41,517.74 and 7,955.87

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Solution

The fourth proportional to 27,677.14, 41,517.74 and 7,955.87 is: 11,934.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,677.14 : 41,517.74 = 7,955.87 : x
  2. Step 2: Convert to fraction form
    27,677.14/41,517.74 = 7,955.87/x
  3. Step 3: Cross multiply
    27,677.14x = 41,517.74 × 7,955.87
  4. Step 4: Simplify right side
    27,677.14x = 330,309,554.43
  5. Step 5: Solve for x
    x = 330,309,554.43/27,677.14
  6. Step 6: Final answer
    x = 11,934.38

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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.