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Finding the Fourth Proportional to 20,199.85, 30,285.19 and 8,506.69

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Solution

The fourth proportional to 20,199.85, 30,285.19 and 8,506.69 is: 12,753.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,199.85 : 30,285.19 = 8,506.69 : x
  2. Step 2: Convert to fraction form
    20,199.85/30,285.19 = 8,506.69/x
  3. Step 3: Cross multiply
    20,199.85x = 30,285.19 × 8,506.69
  4. Step 4: Simplify right side
    20,199.85x = 257,626,722.92
  5. Step 5: Solve for x
    x = 257,626,722.92/20,199.85
  6. Step 6: Final answer
    x = 12,753.89

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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.