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Finding the Fourth Proportional to 20,520, 30,784.32 and 8,208

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Solution

The fourth proportional to 20,520, 30,784.32 and 8,208 is: 12,313.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,520 : 30,784.32 = 8,208 : x
  2. Step 2: Convert to fraction form
    20,520/30,784.32 = 8,208/x
  3. Step 3: Cross multiply
    20,520x = 30,784.32 × 8,208
  4. Step 4: Simplify right side
    20,520x = 252,677,698.56
  5. Step 5: Solve for x
    x = 252,677,698.56/20,520
  6. Step 6: Final answer
    x = 12,313.73

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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.