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Finding the Fourth Proportional to 20,556.75, 30,840 and 6,705.75

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Solution

The fourth proportional to 20,556.75, 30,840 and 6,705.75 is: 10,060.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,556.75 : 30,840 = 6,705.75 : x
  2. Step 2: Convert to fraction form
    20,556.75/30,840 = 6,705.75/x
  3. Step 3: Cross multiply
    20,556.75x = 30,840 × 6,705.75
  4. Step 4: Simplify right side
    20,556.75x = 206,805,330
  5. Step 5: Solve for x
    x = 206,805,330/20,556.75
  6. Step 6: Final answer
    x = 10,060.22

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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.