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Finding the Fourth Proportional to 20,508.85, 30,763.92 and 6,469.00

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Solution

The fourth proportional to 20,508.85, 30,763.92 and 6,469.00 is: 9,703.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,508.85 : 30,763.92 = 6,469.00 : x
  2. Step 2: Convert to fraction form
    20,508.85/30,763.92 = 6,469.00/x
  3. Step 3: Cross multiply
    20,508.85x = 30,763.92 × 6,469.00
  4. Step 4: Simplify right side
    20,508.85x = 199,011,709.44
  5. Step 5: Solve for x
    x = 199,011,709.44/20,508.85
  6. Step 6: Final answer
    x = 9,703.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.