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Finding the Fourth Proportional to 22,705.42, 34,059.41 and 6,910.96

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Solution

The fourth proportional to 22,705.42, 34,059.41 and 6,910.96 is: 10,366.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,705.42 : 34,059.41 = 6,910.96 : x
  2. Step 2: Convert to fraction form
    22,705.42/34,059.41 = 6,910.96/x
  3. Step 3: Cross multiply
    22,705.42x = 34,059.41 × 6,910.96
  4. Step 4: Simplify right side
    22,705.42x = 235,383,220.13
  5. Step 5: Solve for x
    x = 235,383,220.13/22,705.42
  6. Step 6: Final answer
    x = 10,366.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.