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Finding the Fourth Proportional to 22,480.94, 33,722.63 and 5,840.53

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Solution

The fourth proportional to 22,480.94, 33,722.63 and 5,840.53 is: 8,761.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,480.94 : 33,722.63 = 5,840.53 : x
  2. Step 2: Convert to fraction form
    22,480.94/33,722.63 = 5,840.53/x
  3. Step 3: Cross multiply
    22,480.94x = 33,722.63 × 5,840.53
  4. Step 4: Simplify right side
    22,480.94x = 196,958,035.43
  5. Step 5: Solve for x
    x = 196,958,035.43/22,480.94
  6. Step 6: Final answer
    x = 8,761.11

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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.