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Finding the Fourth Proportional to 17,777.24, 26,609.93 and 12,197.96

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Solution

The fourth proportional to 17,777.24, 26,609.93 and 12,197.96 is: 18,258.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,777.24 : 26,609.93 = 12,197.96 : x
  2. Step 2: Convert to fraction form
    17,777.24/26,609.93 = 12,197.96/x
  3. Step 3: Cross multiply
    17,777.24x = 26,609.93 × 12,197.96
  4. Step 4: Simplify right side
    17,777.24x = 324,586,667.70
  5. Step 5: Solve for x
    x = 324,586,667.70/17,777.24
  6. Step 6: Final answer
    x = 18,258.56

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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.