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Finding the Fourth Proportional to 22,119, 33,193.08 and 8,268

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Solution

The fourth proportional to 22,119, 33,193.08 and 8,268 is: 12,407.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,119 : 33,193.08 = 8,268 : x
  2. Step 2: Convert to fraction form
    22,119/33,193.08 = 8,268/x
  3. Step 3: Cross multiply
    22,119x = 33,193.08 × 8,268
  4. Step 4: Simplify right side
    22,119x = 274,440,385.44
  5. Step 5: Solve for x
    x = 274,440,385.44/22,119
  6. Step 6: Final answer
    x = 12,407.45

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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.