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Finding the Fourth Proportional to 12,858.06, 17,745.76 and 7,193.12

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Solution

The fourth proportional to 12,858.06, 17,745.76 and 7,193.12 is: 9,927.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,858.06 : 17,745.76 = 7,193.12 : x
  2. Step 2: Convert to fraction form
    12,858.06/17,745.76 = 7,193.12/x
  3. Step 3: Cross multiply
    12,858.06x = 17,745.76 × 7,193.12
  4. Step 4: Simplify right side
    12,858.06x = 127,647,292.44
  5. Step 5: Solve for x
    x = 127,647,292.44/12,858.06
  6. Step 6: Final answer
    x = 9,927.42

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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.