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Finding the Fourth Proportional to 12,475.50, 17,211.03 and 8,231.31

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Solution

The fourth proportional to 12,475.50, 17,211.03 and 8,231.31 is: 11,355.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,475.50 : 17,211.03 = 8,231.31 : x
  2. Step 2: Convert to fraction form
    12,475.50/17,211.03 = 8,231.31/x
  3. Step 3: Cross multiply
    12,475.50x = 17,211.03 × 8,231.31
  4. Step 4: Simplify right side
    12,475.50x = 141,669,323.35
  5. Step 5: Solve for x
    x = 141,669,323.35/12,475.50
  6. Step 6: Final answer
    x = 11,355.80

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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.