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Finding the Fourth Proportional to 11,720.97, 17,571.60 and 8,014.14

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Solution

The fourth proportional to 11,720.97, 17,571.60 and 8,014.14 is: 12,014.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,720.97 : 17,571.60 = 8,014.14 : x
  2. Step 2: Convert to fraction form
    11,720.97/17,571.60 = 8,014.14/x
  3. Step 3: Cross multiply
    11,720.97x = 17,571.60 × 8,014.14
  4. Step 4: Simplify right side
    11,720.97x = 140,821,262.42
  5. Step 5: Solve for x
    x = 140,821,262.42/11,720.97
  6. Step 6: Final answer
    x = 12,014.47

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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.