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Finding the Fourth Proportional to 20,617.35, 30,924.23 and 6,766.35

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Solution

The fourth proportional to 20,617.35, 30,924.23 and 6,766.35 is: 10,148.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,617.35 : 30,924.23 = 6,766.35 : x
  2. Step 2: Convert to fraction form
    20,617.35/30,924.23 = 6,766.35/x
  3. Step 3: Cross multiply
    20,617.35x = 30,924.23 × 6,766.35
  4. Step 4: Simplify right side
    20,617.35x = 209,244,129.83
  5. Step 5: Solve for x
    x = 209,244,129.83/20,617.35
  6. Step 6: Final answer
    x = 10,148.93

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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.