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Finding the Fourth Proportional to 12,852.81, 17,759.97 and 10,027.26

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Solution

The fourth proportional to 12,852.81, 17,759.97 and 10,027.26 is: 13,855.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,852.81 : 17,759.97 = 10,027.26 : x
  2. Step 2: Convert to fraction form
    12,852.81/17,759.97 = 10,027.26/x
  3. Step 3: Cross multiply
    12,852.81x = 17,759.97 × 10,027.26
  4. Step 4: Simplify right side
    12,852.81x = 178,083,836.78
  5. Step 5: Solve for x
    x = 178,083,836.78/12,852.81
  6. Step 6: Final answer
    x = 13,855.63

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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.