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Finding the Fourth Proportional to 22,763.49, 34,120.56 and 11,654.94

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Solution

The fourth proportional to 22,763.49, 34,120.56 and 11,654.94 is: 17,469.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,763.49 : 34,120.56 = 11,654.94 : x
  2. Step 2: Convert to fraction form
    22,763.49/34,120.56 = 11,654.94/x
  3. Step 3: Cross multiply
    22,763.49x = 34,120.56 × 11,654.94
  4. Step 4: Simplify right side
    22,763.49x = 397,673,079.57
  5. Step 5: Solve for x
    x = 397,673,079.57/22,763.49
  6. Step 6: Final answer
    x = 17,469.78

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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.