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Finding the Fourth Proportional to 20,722.16, 31,096.20 and 8,410.16

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Solution

The fourth proportional to 20,722.16, 31,096.20 and 8,410.16 is: 12,620.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,722.16 : 31,096.20 = 8,410.16 : x
  2. Step 2: Convert to fraction form
    20,722.16/31,096.20 = 8,410.16/x
  3. Step 3: Cross multiply
    20,722.16x = 31,096.20 × 8,410.16
  4. Step 4: Simplify right side
    20,722.16x = 261,524,017.39
  5. Step 5: Solve for x
    x = 261,524,017.39/20,722.16
  6. Step 6: Final answer
    x = 12,620.50

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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.