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Finding the Fourth Proportional to 22,674.42, 33,982.02 and 11,571.72

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Solution

The fourth proportional to 22,674.42, 33,982.02 and 11,571.72 is: 17,342.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,674.42 : 33,982.02 = 11,571.72 : x
  2. Step 2: Convert to fraction form
    22,674.42/33,982.02 = 11,571.72/x
  3. Step 3: Cross multiply
    22,674.42x = 33,982.02 × 11,571.72
  4. Step 4: Simplify right side
    22,674.42x = 393,230,420.47
  5. Step 5: Solve for x
    x = 393,230,420.47/22,674.42
  6. Step 6: Final answer
    x = 17,342.47

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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.