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Finding the Fourth Proportional to 12,852.06, 17,735.96 and 7,546.96

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Solution

The fourth proportional to 12,852.06, 17,735.96 and 7,546.96 is: 10,414.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,852.06 : 17,735.96 = 7,546.96 : x
  2. Step 2: Convert to fraction form
    12,852.06/17,735.96 = 7,546.96/x
  3. Step 3: Cross multiply
    12,852.06x = 17,735.96 × 7,546.96
  4. Step 4: Simplify right side
    12,852.06x = 133,852,580.68
  5. Step 5: Solve for x
    x = 133,852,580.68/12,852.06
  6. Step 6: Final answer
    x = 10,414.88

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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.