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Finding the Fourth Proportional to 12,202.84, 18,297.70 and 3,880.60

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Solution

The fourth proportional to 12,202.84, 18,297.70 and 3,880.60 is: 5,818.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202.84 : 18,297.70 = 3,880.60 : x
  2. Step 2: Convert to fraction form
    12,202.84/18,297.70 = 3,880.60/x
  3. Step 3: Cross multiply
    12,202.84x = 18,297.70 × 3,880.60
  4. Step 4: Simplify right side
    12,202.84x = 71,006,054.62
  5. Step 5: Solve for x
    x = 71,006,054.62/12,202.84
  6. Step 6: Final answer
    x = 5,818.81

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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.