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Finding the Fourth Proportional to 27,816.89, 41,725.42 and 8,095.93

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Solution

The fourth proportional to 27,816.89, 41,725.42 and 8,095.93 is: 12,143.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,816.89 : 41,725.42 = 8,095.93 : x
  2. Step 2: Convert to fraction form
    27,816.89/41,725.42 = 8,095.93/x
  3. Step 3: Cross multiply
    27,816.89x = 41,725.42 × 8,095.93
  4. Step 4: Simplify right side
    27,816.89x = 337,805,954.99
  5. Step 5: Solve for x
    x = 337,805,954.99/27,816.89
  6. Step 6: Final answer
    x = 12,143.92

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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.