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Finding the Fourth Proportional to 11,724.93, 17,571.02 and 8,422.56

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Solution

The fourth proportional to 11,724.93, 17,571.02 and 8,422.56 is: 12,622.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,724.93 : 17,571.02 = 8,422.56 : x
  2. Step 2: Convert to fraction form
    11,724.93/17,571.02 = 8,422.56/x
  3. Step 3: Cross multiply
    11,724.93x = 17,571.02 × 8,422.56
  4. Step 4: Simplify right side
    11,724.93x = 147,992,928.10
  5. Step 5: Solve for x
    x = 147,992,928.10/11,724.93
  6. Step 6: Final answer
    x = 12,622.07

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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.