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Finding the Fourth Proportional to 20,644.80, 30,971.52 and 6,792

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Solution

The fourth proportional to 20,644.80, 30,971.52 and 6,792 is: 10,189.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,644.80 : 30,971.52 = 6,792 : x
  2. Step 2: Convert to fraction form
    20,644.80/30,971.52 = 6,792/x
  3. Step 3: Cross multiply
    20,644.80x = 30,971.52 × 6,792
  4. Step 4: Simplify right side
    20,644.80x = 210,358,563.84
  5. Step 5: Solve for x
    x = 210,358,563.84/20,644.80
  6. Step 6: Final answer
    x = 10,189.42

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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.