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Finding the Fourth Proportional to 20,532.64, 30,798.96 and 8,212

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Solution

The fourth proportional to 20,532.64, 30,798.96 and 8,212 is: 12,318

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,532.64 : 30,798.96 = 8,212 : x
  2. Step 2: Convert to fraction form
    20,532.64/30,798.96 = 8,212/x
  3. Step 3: Cross multiply
    20,532.64x = 30,798.96 × 8,212
  4. Step 4: Simplify right side
    20,532.64x = 252,921,059.52
  5. Step 5: Solve for x
    x = 252,921,059.52/20,532.64
  6. Step 6: Final answer
    x = 12,318

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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.