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Finding the Fourth Proportional to 13,500, 18,630.72 and 7,912.80

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Solution

The fourth proportional to 13,500, 18,630.72 and 7,912.80 is: 10,920.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,500 : 18,630.72 = 7,912.80 : x
  2. Step 2: Convert to fraction form
    13,500/18,630.72 = 7,912.80/x
  3. Step 3: Cross multiply
    13,500x = 18,630.72 × 7,912.80
  4. Step 4: Simplify right side
    13,500x = 147,421,161.22
  5. Step 5: Solve for x
    x = 147,421,161.22/13,500
  6. Step 6: Final answer
    x = 10,920.09

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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.