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Finding the Fourth Proportional to 12,704.67, 17,533.10 and 7,668.83

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Solution

The fourth proportional to 12,704.67, 17,533.10 and 7,668.83 is: 10,583.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,704.67 : 17,533.10 = 7,668.83 : x
  2. Step 2: Convert to fraction form
    12,704.67/17,533.10 = 7,668.83/x
  3. Step 3: Cross multiply
    12,704.67x = 17,533.10 × 7,668.83
  4. Step 4: Simplify right side
    12,704.67x = 134,458,294.78
  5. Step 5: Solve for x
    x = 134,458,294.78/12,704.67
  6. Step 6: Final answer
    x = 10,583.37

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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.