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Finding the Fourth Proportional to 12,843.58, 17,723.91 and 7,178.44

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Solution

The fourth proportional to 12,843.58, 17,723.91 and 7,178.44 is: 9,906.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,843.58 : 17,723.91 = 7,178.44 : x
  2. Step 2: Convert to fraction form
    12,843.58/17,723.91 = 7,178.44/x
  3. Step 3: Cross multiply
    12,843.58x = 17,723.91 × 7,178.44
  4. Step 4: Simplify right side
    12,843.58x = 127,230,024.50
  5. Step 5: Solve for x
    x = 127,230,024.50/12,843.58
  6. Step 6: Final answer
    x = 9,906.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.