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Finding the Fourth Proportional to 12,622.60, 18,933.94 and 3,857.47

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Solution

The fourth proportional to 12,622.60, 18,933.94 and 3,857.47 is: 5,786.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,622.60 : 18,933.94 = 3,857.47 : x
  2. Step 2: Convert to fraction form
    12,622.60/18,933.94 = 3,857.47/x
  3. Step 3: Cross multiply
    12,622.60x = 18,933.94 × 3,857.47
  4. Step 4: Simplify right side
    12,622.60x = 73,037,143.22
  5. Step 5: Solve for x
    x = 73,037,143.22/12,622.60
  6. Step 6: Final answer
    x = 5,786.22

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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.