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Finding the Fourth Proportional to 12,546.70, 17,321.95 and 7,837.36

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Solution

The fourth proportional to 12,546.70, 17,321.95 and 7,837.36 is: 10,820.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,546.70 : 17,321.95 = 7,837.36 : x
  2. Step 2: Convert to fraction form
    12,546.70/17,321.95 = 7,837.36/x
  3. Step 3: Cross multiply
    12,546.70x = 17,321.95 × 7,837.36
  4. Step 4: Simplify right side
    12,546.70x = 135,758,324.54
  5. Step 5: Solve for x
    x = 135,758,324.54/12,546.70
  6. Step 6: Final answer
    x = 10,820.24

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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.