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Finding the Fourth Proportional to 12,147.84, 18,219.69 and 3,380.67

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Solution

The fourth proportional to 12,147.84, 18,219.69 and 3,380.67 is: 5,070.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,147.84 : 18,219.69 = 3,380.67 : x
  2. Step 2: Convert to fraction form
    12,147.84/18,219.69 = 3,380.67/x
  3. Step 3: Cross multiply
    12,147.84x = 18,219.69 × 3,380.67
  4. Step 4: Simplify right side
    12,147.84x = 61,594,759.39
  5. Step 5: Solve for x
    x = 61,594,759.39/12,147.84
  6. Step 6: Final answer
    x = 5,070.43

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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.