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Finding the Fourth Proportional to 22,645.86, 33,969.21 and 7,855.26

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Solution

The fourth proportional to 22,645.86, 33,969.21 and 7,855.26 is: 11,783.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,645.86 : 33,969.21 = 7,855.26 : x
  2. Step 2: Convert to fraction form
    22,645.86/33,969.21 = 7,855.26/x
  3. Step 3: Cross multiply
    22,645.86x = 33,969.21 × 7,855.26
  4. Step 4: Simplify right side
    22,645.86x = 266,836,976.54
  5. Step 5: Solve for x
    x = 266,836,976.54/22,645.86
  6. Step 6: Final answer
    x = 11,783.04

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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.