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Finding the Fourth Proportional to 27,862.02, 41,794.45 and 8,142.17

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Solution

The fourth proportional to 27,862.02, 41,794.45 and 8,142.17 is: 12,213.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,862.02 : 41,794.45 = 8,142.17 : x
  2. Step 2: Convert to fraction form
    27,862.02/41,794.45 = 8,142.17/x
  3. Step 3: Cross multiply
    27,862.02x = 41,794.45 × 8,142.17
  4. Step 4: Simplify right side
    27,862.02x = 340,297,287.63
  5. Step 5: Solve for x
    x = 340,297,287.63/27,862.02
  6. Step 6: Final answer
    x = 12,213.66

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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.