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Finding the Fourth Proportional to 27,802.20, 41,706.03 and 8,080.94

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Solution

The fourth proportional to 27,802.20, 41,706.03 and 8,080.94 is: 12,122.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,802.20 : 41,706.03 = 8,080.94 : x
  2. Step 2: Convert to fraction form
    27,802.20/41,706.03 = 8,080.94/x
  3. Step 3: Cross multiply
    27,802.20x = 41,706.03 × 8,080.94
  4. Step 4: Simplify right side
    27,802.20x = 337,023,717.54
  5. Step 5: Solve for x
    x = 337,023,717.54/27,802.20
  6. Step 6: Final answer
    x = 12,122.20

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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.