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Finding the Fourth Proportional to 21,728.48, 29,968.20 and 13,763

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Solution

The fourth proportional to 21,728.48, 29,968.20 and 13,763 is: 18,982.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,728.48 : 29,968.20 = 13,763 : x
  2. Step 2: Convert to fraction form
    21,728.48/29,968.20 = 13,763/x
  3. Step 3: Cross multiply
    21,728.48x = 29,968.20 × 13,763
  4. Step 4: Simplify right side
    21,728.48x = 412,452,336.60
  5. Step 5: Solve for x
    x = 412,452,336.60/21,728.48
  6. Step 6: Final answer
    x = 18,982.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.