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Finding the Fourth Proportional to 22,798.25, 34,200.38 and 8,571.41

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Solution

The fourth proportional to 22,798.25, 34,200.38 and 8,571.41 is: 12,858.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,798.25 : 34,200.38 = 8,571.41 : x
  2. Step 2: Convert to fraction form
    22,798.25/34,200.38 = 8,571.41/x
  3. Step 3: Cross multiply
    22,798.25x = 34,200.38 × 8,571.41
  4. Step 4: Simplify right side
    22,798.25x = 293,145,479.14
  5. Step 5: Solve for x
    x = 293,145,479.14/22,798.25
  6. Step 6: Final answer
    x = 12,858.24

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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.