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Finding the Fourth Proportional to 13,570.25, 18,728.03 and 7,982.33

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Solution

The fourth proportional to 13,570.25, 18,728.03 and 7,982.33 is: 11,016.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,570.25 : 18,728.03 = 7,982.33 : x
  2. Step 2: Convert to fraction form
    13,570.25/18,728.03 = 7,982.33/x
  3. Step 3: Cross multiply
    13,570.25x = 18,728.03 × 7,982.33
  4. Step 4: Simplify right side
    13,570.25x = 149,493,275.80
  5. Step 5: Solve for x
    x = 149,493,275.80/13,570.25
  6. Step 6: Final answer
    x = 11,016.25

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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.