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Finding the Fourth Proportional to 12,123.98, 18,194.32 and 4,226.56

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Solution

The fourth proportional to 12,123.98, 18,194.32 and 4,226.56 is: 6,342.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,123.98 : 18,194.32 = 4,226.56 : x
  2. Step 2: Convert to fraction form
    12,123.98/18,194.32 = 4,226.56/x
  3. Step 3: Cross multiply
    12,123.98x = 18,194.32 × 4,226.56
  4. Step 4: Simplify right side
    12,123.98x = 76,899,344.94
  5. Step 5: Solve for x
    x = 76,899,344.94/12,123.98
  6. Step 6: Final answer
    x = 6,342.75

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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.