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Finding the Fourth Proportional to 16,540.56, 24,811.74 and 5,446.80

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Solution

The fourth proportional to 16,540.56, 24,811.74 and 5,446.80 is: 8,170.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,540.56 : 24,811.74 = 5,446.80 : x
  2. Step 2: Convert to fraction form
    16,540.56/24,811.74 = 5,446.80/x
  3. Step 3: Cross multiply
    16,540.56x = 24,811.74 × 5,446.80
  4. Step 4: Simplify right side
    16,540.56x = 135,144,585.43
  5. Step 5: Solve for x
    x = 135,144,585.43/16,540.56
  6. Step 6: Final answer
    x = 8,170.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.