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Finding the Fourth Proportional to 22,536.84, 33,810.78 and 7,745.96

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Solution

The fourth proportional to 22,536.84, 33,810.78 and 7,745.96 is: 11,620.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,536.84 : 33,810.78 = 7,745.96 : x
  2. Step 2: Convert to fraction form
    22,536.84/33,810.78 = 7,745.96/x
  3. Step 3: Cross multiply
    22,536.84x = 33,810.78 × 7,745.96
  4. Step 4: Simplify right side
    22,536.84x = 261,896,949.45
  5. Step 5: Solve for x
    x = 261,896,949.45/22,536.84
  6. Step 6: Final answer
    x = 11,620.84

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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.