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Finding the Fourth Proportional to 27,871.08, 41,812.11 and 12,288.84

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Solution

The fourth proportional to 27,871.08, 41,812.11 and 12,288.84 is: 18,435.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,871.08 : 41,812.11 = 12,288.84 : x
  2. Step 2: Convert to fraction form
    27,871.08/41,812.11 = 12,288.84/x
  3. Step 3: Cross multiply
    27,871.08x = 41,812.11 × 12,288.84
  4. Step 4: Simplify right side
    27,871.08x = 513,822,329.85
  5. Step 5: Solve for x
    x = 513,822,329.85/27,871.08
  6. Step 6: Final answer
    x = 18,435.68

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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.