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Finding the Fourth Proportional to 27,816.45, 41,727.42 and 8,095.20

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Solution

The fourth proportional to 27,816.45, 41,727.42 and 8,095.20 is: 12,143.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,816.45 : 41,727.42 = 8,095.20 : x
  2. Step 2: Convert to fraction form
    27,816.45/41,727.42 = 8,095.20/x
  3. Step 3: Cross multiply
    27,816.45x = 41,727.42 × 8,095.20
  4. Step 4: Simplify right side
    27,816.45x = 337,791,810.38
  5. Step 5: Solve for x
    x = 337,791,810.38/27,816.45
  6. Step 6: Final answer
    x = 12,143.60

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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.