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Finding the Fourth Proportional to 12,465.28, 18,697.82 and 3,105.22

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Solution

The fourth proportional to 12,465.28, 18,697.82 and 3,105.22 is: 4,657.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,465.28 : 18,697.82 = 3,105.22 : x
  2. Step 2: Convert to fraction form
    12,465.28/18,697.82 = 3,105.22/x
  3. Step 3: Cross multiply
    12,465.28x = 18,697.82 × 3,105.22
  4. Step 4: Simplify right side
    12,465.28x = 58,060,844.62
  5. Step 5: Solve for x
    x = 58,060,844.62/12,465.28
  6. Step 6: Final answer
    x = 4,657.81

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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.