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Finding the Fourth Proportional to 12,275.22, 18,412.83 and 5,697.82

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Solution

The fourth proportional to 12,275.22, 18,412.83 and 5,697.82 is: 8,546.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,275.22 : 18,412.83 = 5,697.82 : x
  2. Step 2: Convert to fraction form
    12,275.22/18,412.83 = 5,697.82/x
  3. Step 3: Cross multiply
    12,275.22x = 18,412.83 × 5,697.82
  4. Step 4: Simplify right side
    12,275.22x = 104,912,991.03
  5. Step 5: Solve for x
    x = 104,912,991.03/12,275.22
  6. Step 6: Final answer
    x = 8,546.73

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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.