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Finding the Fourth Proportional to 22,522.48, 33,793.60 and 11,990

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Solution

The fourth proportional to 22,522.48, 33,793.60 and 11,990 is: 17,990.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,522.48 : 33,793.60 = 11,990 : x
  2. Step 2: Convert to fraction form
    22,522.48/33,793.60 = 11,990/x
  3. Step 3: Cross multiply
    22,522.48x = 33,793.60 × 11,990
  4. Step 4: Simplify right side
    22,522.48x = 405,185,264
  5. Step 5: Solve for x
    x = 405,185,264/22,522.48
  6. Step 6: Final answer
    x = 17,990.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.