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Finding the Fourth Proportional to 20,206.79, 30,310.19 and 6,166.89

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Solution

The fourth proportional to 20,206.79, 30,310.19 and 6,166.89 is: 9,250.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,206.79 : 30,310.19 = 6,166.89 : x
  2. Step 2: Convert to fraction form
    20,206.79/30,310.19 = 6,166.89/x
  3. Step 3: Cross multiply
    20,206.79x = 30,310.19 × 6,166.89
  4. Step 4: Simplify right side
    20,206.79x = 186,919,599.90
  5. Step 5: Solve for x
    x = 186,919,599.90/20,206.79
  6. Step 6: Final answer
    x = 9,250.34

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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.