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Finding the Fourth Proportional to 22,284, 33,421.95 and 8,241.84

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Solution

The fourth proportional to 22,284, 33,421.95 and 8,241.84 is: 12,361.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,284 : 33,421.95 = 8,241.84 : x
  2. Step 2: Convert to fraction form
    22,284/33,421.95 = 8,241.84/x
  3. Step 3: Cross multiply
    22,284x = 33,421.95 × 8,241.84
  4. Step 4: Simplify right side
    22,284x = 275,458,364.39
  5. Step 5: Solve for x
    x = 275,458,364.39/22,284
  6. Step 6: Final answer
    x = 12,361.26

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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.