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Finding the Fourth Proportional to 27,914.25, 41,871.51 and 7,137.75

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Solution

The fourth proportional to 27,914.25, 41,871.51 and 7,137.75 is: 10,706.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,914.25 : 41,871.51 = 7,137.75 : x
  2. Step 2: Convert to fraction form
    27,914.25/41,871.51 = 7,137.75/x
  3. Step 3: Cross multiply
    27,914.25x = 41,871.51 × 7,137.75
  4. Step 4: Simplify right side
    27,914.25x = 298,868,370.50
  5. Step 5: Solve for x
    x = 298,868,370.50/27,914.25
  6. Step 6: Final answer
    x = 10,706.66

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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.