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Finding the Fourth Proportional to 12,786.75, 17,645.99 and 7,197.75

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Solution

The fourth proportional to 12,786.75, 17,645.99 and 7,197.75 is: 9,933.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,786.75 : 17,645.99 = 7,197.75 : x
  2. Step 2: Convert to fraction form
    12,786.75/17,645.99 = 7,197.75/x
  3. Step 3: Cross multiply
    12,786.75x = 17,645.99 × 7,197.75
  4. Step 4: Simplify right side
    12,786.75x = 127,011,388.53
  5. Step 5: Solve for x
    x = 127,011,388.53/12,786.75
  6. Step 6: Final answer
    x = 9,933.05

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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.