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Finding the Fourth Proportional to 12,178.33, 18,234.85 and 8,472.73

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Solution

The fourth proportional to 12,178.33, 18,234.85 and 8,472.73 is: 12,686.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,178.33 : 18,234.85 = 8,472.73 : x
  2. Step 2: Convert to fraction form
    12,178.33/18,234.85 = 8,472.73/x
  3. Step 3: Cross multiply
    12,178.33x = 18,234.85 × 8,472.73
  4. Step 4: Simplify right side
    12,178.33x = 154,498,960.64
  5. Step 5: Solve for x
    x = 154,498,960.64/12,178.33
  6. Step 6: Final answer
    x = 12,686.38

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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.