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Finding the Fourth Proportional to 12,586.60, 18,858.30 and 8,201.80

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Solution

The fourth proportional to 12,586.60, 18,858.30 and 8,201.80 is: 12,288.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,586.60 : 18,858.30 = 8,201.80 : x
  2. Step 2: Convert to fraction form
    12,586.60/18,858.30 = 8,201.80/x
  3. Step 3: Cross multiply
    12,586.60x = 18,858.30 × 8,201.80
  4. Step 4: Simplify right side
    12,586.60x = 154,672,004.94
  5. Step 5: Solve for x
    x = 154,672,004.94/12,586.60
  6. Step 6: Final answer
    x = 12,288.62

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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.