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Finding the Fourth Proportional to 27,840.81, 41,770.79 and 8,122.28

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Solution

The fourth proportional to 27,840.81, 41,770.79 and 8,122.28 is: 12,186.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,840.81 : 41,770.79 = 8,122.28 : x
  2. Step 2: Convert to fraction form
    27,840.81/41,770.79 = 8,122.28/x
  3. Step 3: Cross multiply
    27,840.81x = 41,770.79 × 8,122.28
  4. Step 4: Simplify right side
    27,840.81x = 339,273,833.19
  5. Step 5: Solve for x
    x = 339,273,833.19/27,840.81
  6. Step 6: Final answer
    x = 12,186.20

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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.