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Finding the Fourth Proportional to 8,157.23, 12,235.89 and 2,233.98

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Solution

The fourth proportional to 8,157.23, 12,235.89 and 2,233.98 is: 3,350.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,157.23 : 12,235.89 = 2,233.98 : x
  2. Step 2: Convert to fraction form
    8,157.23/12,235.89 = 2,233.98/x
  3. Step 3: Cross multiply
    8,157.23x = 12,235.89 × 2,233.98
  4. Step 4: Simplify right side
    8,157.23x = 27,334,733.54
  5. Step 5: Solve for x
    x = 27,334,733.54/8,157.23
  6. Step 6: Final answer
    x = 3,350.98

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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.