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Finding the Fourth Proportional to 14,811, 20,439.18 and 8,096.66

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Solution

The fourth proportional to 14,811, 20,439.18 and 8,096.66 is: 11,173.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,811 : 20,439.18 = 8,096.66 : x
  2. Step 2: Convert to fraction form
    14,811/20,439.18 = 8,096.66/x
  3. Step 3: Cross multiply
    14,811x = 20,439.18 × 8,096.66
  4. Step 4: Simplify right side
    14,811x = 165,488,948.46
  5. Step 5: Solve for x
    x = 165,488,948.46/14,811
  6. Step 6: Final answer
    x = 11,173.38

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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.