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Finding the Fourth Proportional to 20,392.35, 30,599.67 and 7,912.86

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Solution

The fourth proportional to 20,392.35, 30,599.67 and 7,912.86 is: 11,873.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,392.35 : 30,599.67 = 7,912.86 : x
  2. Step 2: Convert to fraction form
    20,392.35/30,599.67 = 7,912.86/x
  3. Step 3: Cross multiply
    20,392.35x = 30,599.67 × 7,912.86
  4. Step 4: Simplify right side
    20,392.35x = 242,131,019.50
  5. Step 5: Solve for x
    x = 242,131,019.50/20,392.35
  6. Step 6: Final answer
    x = 11,873.62

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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.