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Finding the Fourth Proportional to 22,447.44, 33,693.84 and 20,241

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Solution

The fourth proportional to 22,447.44, 33,693.84 and 20,241 is: 30,381.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,447.44 : 33,693.84 = 20,241 : x
  2. Step 2: Convert to fraction form
    22,447.44/33,693.84 = 20,241/x
  3. Step 3: Cross multiply
    22,447.44x = 33,693.84 × 20,241
  4. Step 4: Simplify right side
    22,447.44x = 681,997,015.44
  5. Step 5: Solve for x
    x = 681,997,015.44/22,447.44
  6. Step 6: Final answer
    x = 30,381.95

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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.