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Finding the Fourth Proportional to 12,084.48, 18,122.88 and 8,213.76

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Solution

The fourth proportional to 12,084.48, 18,122.88 and 8,213.76 is: 12,318.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,084.48 : 18,122.88 = 8,213.76 : x
  2. Step 2: Convert to fraction form
    12,084.48/18,122.88 = 8,213.76/x
  3. Step 3: Cross multiply
    12,084.48x = 18,122.88 × 8,213.76
  4. Step 4: Simplify right side
    12,084.48x = 148,856,986.83
  5. Step 5: Solve for x
    x = 148,856,986.83/12,084.48
  6. Step 6: Final answer
    x = 12,318.03

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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.