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Finding the Fourth Proportional to 22,542.21, 33,816.39 and 9,391.50

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Solution

The fourth proportional to 22,542.21, 33,816.39 and 9,391.50 is: 14,088.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,542.21 : 33,816.39 = 9,391.50 : x
  2. Step 2: Convert to fraction form
    22,542.21/33,816.39 = 9,391.50/x
  3. Step 3: Cross multiply
    22,542.21x = 33,816.39 × 9,391.50
  4. Step 4: Simplify right side
    22,542.21x = 317,586,591.47
  5. Step 5: Solve for x
    x = 317,586,591.47/22,542.21
  6. Step 6: Final answer
    x = 14,088.53

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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.