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Finding the Fourth Proportional to 12,145.37, 18,194.70 and 7,451.69

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Solution

The fourth proportional to 12,145.37, 18,194.70 and 7,451.69 is: 11,163.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,145.37 : 18,194.70 = 7,451.69 : x
  2. Step 2: Convert to fraction form
    12,145.37/18,194.70 = 7,451.69/x
  3. Step 3: Cross multiply
    12,145.37x = 18,194.70 × 7,451.69
  4. Step 4: Simplify right side
    12,145.37x = 135,581,173.07
  5. Step 5: Solve for x
    x = 135,581,173.07/12,145.37
  6. Step 6: Final answer
    x = 11,163.20

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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.