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Finding the Fourth Proportional to 22,297.85, 33,446.69 and 5,657.84

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Solution

The fourth proportional to 22,297.85, 33,446.69 and 5,657.84 is: 8,486.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,297.85 : 33,446.69 = 5,657.84 : x
  2. Step 2: Convert to fraction form
    22,297.85/33,446.69 = 5,657.84/x
  3. Step 3: Cross multiply
    22,297.85x = 33,446.69 × 5,657.84
  4. Step 4: Simplify right side
    22,297.85x = 189,236,020.55
  5. Step 5: Solve for x
    x = 189,236,020.55/22,297.85
  6. Step 6: Final answer
    x = 8,486.74

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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.