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Finding the Fourth Proportional to 12,203.46, 18,296.90 and 3,880.98

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Solution

The fourth proportional to 12,203.46, 18,296.90 and 3,880.98 is: 5,818.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,203.46 : 18,296.90 = 3,880.98 : x
  2. Step 2: Convert to fraction form
    12,203.46/18,296.90 = 3,880.98/x
  3. Step 3: Cross multiply
    12,203.46x = 18,296.90 × 3,880.98
  4. Step 4: Simplify right side
    12,203.46x = 71,009,902.96
  5. Step 5: Solve for x
    x = 71,009,902.96/12,203.46
  6. Step 6: Final answer
    x = 5,818.83

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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.