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Finding the Fourth Proportional to 14,811.21, 20,439.42 and 8,096.84

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Solution

The fourth proportional to 14,811.21, 20,439.42 and 8,096.84 is: 11,173.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,811.21 : 20,439.42 = 8,096.84 : x
  2. Step 2: Convert to fraction form
    14,811.21/20,439.42 = 8,096.84/x
  3. Step 3: Cross multiply
    14,811.21x = 20,439.42 × 8,096.84
  4. Step 4: Simplify right side
    14,811.21x = 165,494,713.43
  5. Step 5: Solve for x
    x = 165,494,713.43/14,811.21
  6. Step 6: Final answer
    x = 11,173.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.