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Finding the Fourth Proportional to 27,901.26, 41,852.24 and 8,180.21

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Solution

The fourth proportional to 27,901.26, 41,852.24 and 8,180.21 is: 12,270.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,901.26 : 41,852.24 = 8,180.21 : x
  2. Step 2: Convert to fraction form
    27,901.26/41,852.24 = 8,180.21/x
  3. Step 3: Cross multiply
    27,901.26x = 41,852.24 × 8,180.21
  4. Step 4: Simplify right side
    27,901.26x = 342,359,862.01
  5. Step 5: Solve for x
    x = 342,359,862.01/27,901.26
  6. Step 6: Final answer
    x = 12,270.41

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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.