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Finding the Fourth Proportional to 12,586.98, 18,886.82 and 8,912.82

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Solution

The fourth proportional to 12,586.98, 18,886.82 and 8,912.82 is: 13,373.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,586.98 : 18,886.82 = 8,912.82 : x
  2. Step 2: Convert to fraction form
    12,586.98/18,886.82 = 8,912.82/x
  3. Step 3: Cross multiply
    12,586.98x = 18,886.82 × 8,912.82
  4. Step 4: Simplify right side
    12,586.98x = 168,334,827.03
  5. Step 5: Solve for x
    x = 168,334,827.03/12,586.98
  6. Step 6: Final answer
    x = 13,373.73

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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.