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Finding the Fourth Proportional to 20,609.94, 30,917.18 and 6,566.70

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Solution

The fourth proportional to 20,609.94, 30,917.18 and 6,566.70 is: 9,850.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,609.94 : 30,917.18 = 6,566.70 : x
  2. Step 2: Convert to fraction form
    20,609.94/30,917.18 = 6,566.70/x
  3. Step 3: Cross multiply
    20,609.94x = 30,917.18 × 6,566.70
  4. Step 4: Simplify right side
    20,609.94x = 203,023,845.91
  5. Step 5: Solve for x
    x = 203,023,845.91/20,609.94
  6. Step 6: Final answer
    x = 9,850.77

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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.