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Finding the Fourth Proportional to 27,853.94, 41,772.62 and 8,127.20

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Solution

The fourth proportional to 27,853.94, 41,772.62 and 8,127.20 is: 12,188.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,853.94 : 41,772.62 = 8,127.20 : x
  2. Step 2: Convert to fraction form
    27,853.94/41,772.62 = 8,127.20/x
  3. Step 3: Cross multiply
    27,853.94x = 41,772.62 × 8,127.20
  4. Step 4: Simplify right side
    27,853.94x = 339,494,437.26
  5. Step 5: Solve for x
    x = 339,494,437.26/27,853.94
  6. Step 6: Final answer
    x = 12,188.38

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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.