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Finding the Fourth Proportional to 12,828.92, 17,704.69 and 7,163.67

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Solution

The fourth proportional to 12,828.92, 17,704.69 and 7,163.67 is: 9,886.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,828.92 : 17,704.69 = 7,163.67 : x
  2. Step 2: Convert to fraction form
    12,828.92/17,704.69 = 7,163.67/x
  3. Step 3: Cross multiply
    12,828.92x = 17,704.69 × 7,163.67
  4. Step 4: Simplify right side
    12,828.92x = 126,830,538.70
  5. Step 5: Solve for x
    x = 126,830,538.70/12,828.92
  6. Step 6: Final answer
    x = 9,886.30

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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.