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Finding the Fourth Proportional to 22,634.38, 33,907.42 and 14,819.50

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Solution

The fourth proportional to 22,634.38, 33,907.42 and 14,819.50 is: 22,200.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,634.38 : 33,907.42 = 14,819.50 : x
  2. Step 2: Convert to fraction form
    22,634.38/33,907.42 = 14,819.50/x
  3. Step 3: Cross multiply
    22,634.38x = 33,907.42 × 14,819.50
  4. Step 4: Simplify right side
    22,634.38x = 502,491,010.69
  5. Step 5: Solve for x
    x = 502,491,010.69/22,634.38
  6. Step 6: Final answer
    x = 22,200.34

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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.