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Finding the Fourth Proportional to 22,415.94, 33,623.91 and 6,833.43

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Solution

The fourth proportional to 22,415.94, 33,623.91 and 6,833.43 is: 10,250.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,415.94 : 33,623.91 = 6,833.43 : x
  2. Step 2: Convert to fraction form
    22,415.94/33,623.91 = 6,833.43/x
  3. Step 3: Cross multiply
    22,415.94x = 33,623.91 × 6,833.43
  4. Step 4: Simplify right side
    22,415.94x = 229,766,635.31
  5. Step 5: Solve for x
    x = 229,766,635.31/22,415.94
  6. Step 6: Final answer
    x = 10,250.15

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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.