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Finding the Fourth Proportional to 12,586.57, 18,885.99 and 8,912.41

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Solution

The fourth proportional to 12,586.57, 18,885.99 and 8,912.41 is: 13,372.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,586.57 : 18,885.99 = 8,912.41 : x
  2. Step 2: Convert to fraction form
    12,586.57/18,885.99 = 8,912.41/x
  3. Step 3: Cross multiply
    12,586.57x = 18,885.99 × 8,912.41
  4. Step 4: Simplify right side
    12,586.57x = 168,319,672.34
  5. Step 5: Solve for x
    x = 168,319,672.34/12,586.57
  6. Step 6: Final answer
    x = 13,372.96

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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.