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Finding the Fourth Proportional to 12,372.64, 18,561.52 and 5,446.56

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Solution

The fourth proportional to 12,372.64, 18,561.52 and 5,446.56 is: 8,170.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,372.64 : 18,561.52 = 5,446.56 : x
  2. Step 2: Convert to fraction form
    12,372.64/18,561.52 = 5,446.56/x
  3. Step 3: Cross multiply
    12,372.64x = 18,561.52 × 5,446.56
  4. Step 4: Simplify right side
    12,372.64x = 101,096,432.37
  5. Step 5: Solve for x
    x = 101,096,432.37/12,372.64
  6. Step 6: Final answer
    x = 8,170.97

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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.