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Finding the Fourth Proportional to 12,178.97, 18,269.06 and 3,414.77

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Solution

The fourth proportional to 12,178.97, 18,269.06 and 3,414.77 is: 5,122.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,178.97 : 18,269.06 = 3,414.77 : x
  2. Step 2: Convert to fraction form
    12,178.97/18,269.06 = 3,414.77/x
  3. Step 3: Cross multiply
    12,178.97x = 18,269.06 × 3,414.77
  4. Step 4: Simplify right side
    12,178.97x = 62,384,638.02
  5. Step 5: Solve for x
    x = 62,384,638.02/12,178.97
  6. Step 6: Final answer
    x = 5,122.32

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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.