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Finding the Fourth Proportional to 22,677, 33,982.68 and 12,795.39

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Solution

The fourth proportional to 22,677, 33,982.68 and 12,795.39 is: 19,174.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,677 : 33,982.68 = 12,795.39 : x
  2. Step 2: Convert to fraction form
    22,677/33,982.68 = 12,795.39/x
  3. Step 3: Cross multiply
    22,677x = 33,982.68 × 12,795.39
  4. Step 4: Simplify right side
    22,677x = 434,821,643.85
  5. Step 5: Solve for x
    x = 434,821,643.85/22,677
  6. Step 6: Final answer
    x = 19,174.57

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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.