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Finding the Fourth Proportional to 27,910.95, 41,866.41 and 8,189.58

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Solution

The fourth proportional to 27,910.95, 41,866.41 and 8,189.58 is: 12,284.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,910.95 : 41,866.41 = 8,189.58 : x
  2. Step 2: Convert to fraction form
    27,910.95/41,866.41 = 8,189.58/x
  3. Step 3: Cross multiply
    27,910.95x = 41,866.41 × 8,189.58
  4. Step 4: Simplify right side
    27,910.95x = 342,868,314.01
  5. Step 5: Solve for x
    x = 342,868,314.01/27,910.95
  6. Step 6: Final answer
    x = 12,284.37

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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.