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Finding the Fourth Proportional to 12,622.46, 18,937.10 and 3,857.14

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Solution

The fourth proportional to 12,622.46, 18,937.10 and 3,857.14 is: 5,786.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,622.46 : 18,937.10 = 3,857.14 : x
  2. Step 2: Convert to fraction form
    12,622.46/18,937.10 = 3,857.14/x
  3. Step 3: Cross multiply
    12,622.46x = 18,937.10 × 3,857.14
  4. Step 4: Simplify right side
    12,622.46x = 73,043,045.89
  5. Step 5: Solve for x
    x = 73,043,045.89/12,622.46
  6. Step 6: Final answer
    x = 5,786.75

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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.