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Finding the Fourth Proportional to 17,982.27, 24,815.43 and 10,024.56

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Solution

The fourth proportional to 17,982.27, 24,815.43 and 10,024.56 is: 13,833.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,982.27 : 24,815.43 = 10,024.56 : x
  2. Step 2: Convert to fraction form
    17,982.27/24,815.43 = 10,024.56/x
  3. Step 3: Cross multiply
    17,982.27x = 24,815.43 × 10,024.56
  4. Step 4: Simplify right side
    17,982.27x = 248,763,766.96
  5. Step 5: Solve for x
    x = 248,763,766.96/17,982.27
  6. Step 6: Final answer
    x = 13,833.84

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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.