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Finding the Fourth Proportional to 12,832.26, 17,708.13 and 7,166.67

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Solution

The fourth proportional to 12,832.26, 17,708.13 and 7,166.67 is: 9,889.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,832.26 : 17,708.13 = 7,166.67 : x
  2. Step 2: Convert to fraction form
    12,832.26/17,708.13 = 7,166.67/x
  3. Step 3: Cross multiply
    12,832.26x = 17,708.13 × 7,166.67
  4. Step 4: Simplify right side
    12,832.26x = 126,908,324.03
  5. Step 5: Solve for x
    x = 126,908,324.03/12,832.26
  6. Step 6: Final answer
    x = 9,889.79

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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.