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Finding the Fourth Proportional to 12,431.25, 18,647.06 and 3,197.25

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Solution

The fourth proportional to 12,431.25, 18,647.06 and 3,197.25 is: 4,795.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,431.25 : 18,647.06 = 3,197.25 : x
  2. Step 2: Convert to fraction form
    12,431.25/18,647.06 = 3,197.25/x
  3. Step 3: Cross multiply
    12,431.25x = 18,647.06 × 3,197.25
  4. Step 4: Simplify right side
    12,431.25x = 59,619,296.60
  5. Step 5: Solve for x
    x = 59,619,296.60/12,431.25
  6. Step 6: Final answer
    x = 4,795.92

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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.