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Finding the Fourth Proportional to 20,323.20, 30,500.16 and 8,644.64

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Solution

The fourth proportional to 20,323.20, 30,500.16 and 8,644.64 is: 12,973.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,323.20 : 30,500.16 = 8,644.64 : x
  2. Step 2: Convert to fraction form
    20,323.20/30,500.16 = 8,644.64/x
  3. Step 3: Cross multiply
    20,323.20x = 30,500.16 × 8,644.64
  4. Step 4: Simplify right side
    20,323.20x = 263,662,903.14
  5. Step 5: Solve for x
    x = 263,662,903.14/20,323.20
  6. Step 6: Final answer
    x = 12,973.49

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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.