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Finding the Fourth Proportional to 12,623, 18,933.72 and 3,857.12

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Solution

The fourth proportional to 12,623, 18,933.72 and 3,857.12 is: 5,785.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,623 : 18,933.72 = 3,857.12 : x
  2. Step 2: Convert to fraction form
    12,623/18,933.72 = 3,857.12/x
  3. Step 3: Cross multiply
    12,623x = 18,933.72 × 3,857.12
  4. Step 4: Simplify right side
    12,623x = 73,029,630.09
  5. Step 5: Solve for x
    x = 73,029,630.09/12,623
  6. Step 6: Final answer
    x = 5,785.44

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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.