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Finding the Fourth Proportional to 22,660.96, 33,978 and 8,622.04

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Solution

The fourth proportional to 22,660.96, 33,978 and 8,622.04 is: 12,927.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,660.96 : 33,978 = 8,622.04 : x
  2. Step 2: Convert to fraction form
    22,660.96/33,978 = 8,622.04/x
  3. Step 3: Cross multiply
    22,660.96x = 33,978 × 8,622.04
  4. Step 4: Simplify right side
    22,660.96x = 292,959,675.12
  5. Step 5: Solve for x
    x = 292,959,675.12/22,660.96
  6. Step 6: Final answer
    x = 12,927.95

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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.