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Finding the Fourth Proportional to 11,812.94, 17,720.09 and 3,047.63

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Solution

The fourth proportional to 11,812.94, 17,720.09 and 3,047.63 is: 4,571.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,812.94 : 17,720.09 = 3,047.63 : x
  2. Step 2: Convert to fraction form
    11,812.94/17,720.09 = 3,047.63/x
  3. Step 3: Cross multiply
    11,812.94x = 17,720.09 × 3,047.63
  4. Step 4: Simplify right side
    11,812.94x = 54,004,194.05
  5. Step 5: Solve for x
    x = 54,004,194.05/11,812.94
  6. Step 6: Final answer
    x = 4,571.61

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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.