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Finding the Fourth Proportional to 22,237.82, 33,394.90 and 19,744.64

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Solution

The fourth proportional to 22,237.82, 33,394.90 and 19,744.64 is: 29,650.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,237.82 : 33,394.90 = 19,744.64 : x
  2. Step 2: Convert to fraction form
    22,237.82/33,394.90 = 19,744.64/x
  3. Step 3: Cross multiply
    22,237.82x = 33,394.90 × 19,744.64
  4. Step 4: Simplify right side
    22,237.82x = 659,370,278.34
  5. Step 5: Solve for x
    x = 659,370,278.34/22,237.82
  6. Step 6: Final answer
    x = 29,650.85

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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.