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Finding the Fourth Proportional to 13,576.27, 18,735.77 and 7,914.67

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Solution

The fourth proportional to 13,576.27, 18,735.77 and 7,914.67 is: 10,922.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,576.27 : 18,735.77 = 7,914.67 : x
  2. Step 2: Convert to fraction form
    13,576.27/18,735.77 = 7,914.67/x
  3. Step 3: Cross multiply
    13,576.27x = 18,735.77 × 7,914.67
  4. Step 4: Simplify right side
    13,576.27x = 148,287,409.69
  5. Step 5: Solve for x
    x = 148,287,409.69/13,576.27
  6. Step 6: Final answer
    x = 10,922.55

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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.