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Finding the Fourth Proportional to 12,177.94, 18,269 and 3,857.82

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Solution

The fourth proportional to 12,177.94, 18,269 and 3,857.82 is: 5,787.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,177.94 : 18,269 = 3,857.82 : x
  2. Step 2: Convert to fraction form
    12,177.94/18,269 = 3,857.82/x
  3. Step 3: Cross multiply
    12,177.94x = 18,269 × 3,857.82
  4. Step 4: Simplify right side
    12,177.94x = 70,478,513.58
  5. Step 5: Solve for x
    x = 70,478,513.58/12,177.94
  6. Step 6: Final answer
    x = 5,787.39

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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.