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Finding the Fourth Proportional to 13,002.06, 17,942.77 and 7,033.71

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Solution

The fourth proportional to 13,002.06, 17,942.77 and 7,033.71 is: 9,706.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,002.06 : 17,942.77 = 7,033.71 : x
  2. Step 2: Convert to fraction form
    13,002.06/17,942.77 = 7,033.71/x
  3. Step 3: Cross multiply
    13,002.06x = 17,942.77 × 7,033.71
  4. Step 4: Simplify right side
    13,002.06x = 126,204,240.78
  5. Step 5: Solve for x
    x = 126,204,240.78/13,002.06
  6. Step 6: Final answer
    x = 9,706.48

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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.