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Finding the Fourth Proportional to 27,409.26, 41,080.78 and 13,348.22

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Solution

The fourth proportional to 27,409.26, 41,080.78 and 13,348.22 is: 20,006.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,409.26 : 41,080.78 = 13,348.22 : x
  2. Step 2: Convert to fraction form
    27,409.26/41,080.78 = 13,348.22/x
  3. Step 3: Cross multiply
    27,409.26x = 41,080.78 × 13,348.22
  4. Step 4: Simplify right side
    27,409.26x = 548,355,289.21
  5. Step 5: Solve for x
    x = 548,355,289.21/27,409.26
  6. Step 6: Final answer
    x = 20,006.21

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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.