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Finding the Fourth Proportional to 27,871.18, 41,805.96 and 8,150.20

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Solution

The fourth proportional to 27,871.18, 41,805.96 and 8,150.20 is: 12,225.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,871.18 : 41,805.96 = 8,150.20 : x
  2. Step 2: Convert to fraction form
    27,871.18/41,805.96 = 8,150.20/x
  3. Step 3: Cross multiply
    27,871.18x = 41,805.96 × 8,150.20
  4. Step 4: Simplify right side
    27,871.18x = 340,726,935.19
  5. Step 5: Solve for x
    x = 340,726,935.19/27,871.18
  6. Step 6: Final answer
    x = 12,225.06

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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.