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Finding the Fourth Proportional to 12,147.09, 18,222.71 and 5,573.84

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Solution

The fourth proportional to 12,147.09, 18,222.71 and 5,573.84 is: 8,361.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,147.09 : 18,222.71 = 5,573.84 : x
  2. Step 2: Convert to fraction form
    12,147.09/18,222.71 = 5,573.84/x
  3. Step 3: Cross multiply
    12,147.09x = 18,222.71 × 5,573.84
  4. Step 4: Simplify right side
    12,147.09x = 101,570,350.92
  5. Step 5: Solve for x
    x = 101,570,350.92/12,147.09
  6. Step 6: Final answer
    x = 8,361.70

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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.