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Finding the Fourth Proportional to 12,704.63, 17,532.38 and 7,736.63

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Solution

The fourth proportional to 12,704.63, 17,532.38 and 7,736.63 is: 10,676.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,704.63 : 17,532.38 = 7,736.63 : x
  2. Step 2: Convert to fraction form
    12,704.63/17,532.38 = 7,736.63/x
  3. Step 3: Cross multiply
    12,704.63x = 17,532.38 × 7,736.63
  4. Step 4: Simplify right side
    12,704.63x = 135,641,468.76
  5. Step 5: Solve for x
    x = 135,641,468.76/12,704.63
  6. Step 6: Final answer
    x = 10,676.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.