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Finding the Fourth Proportional to 20,622.08, 30,937.92 and 6,770.24

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Solution

The fourth proportional to 20,622.08, 30,937.92 and 6,770.24 is: 10,156.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,622.08 : 30,937.92 = 6,770.24 : x
  2. Step 2: Convert to fraction form
    20,622.08/30,937.92 = 6,770.24/x
  3. Step 3: Cross multiply
    20,622.08x = 30,937.92 × 6,770.24
  4. Step 4: Simplify right side
    20,622.08x = 209,457,143.50
  5. Step 5: Solve for x
    x = 209,457,143.50/20,622.08
  6. Step 6: Final answer
    x = 10,156.94

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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.