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Finding the Fourth Proportional to 13,012.82, 17,945.39 and 8,540.45

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Solution

The fourth proportional to 13,012.82, 17,945.39 and 8,540.45 is: 11,777.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,012.82 : 17,945.39 = 8,540.45 : x
  2. Step 2: Convert to fraction form
    13,012.82/17,945.39 = 8,540.45/x
  3. Step 3: Cross multiply
    13,012.82x = 17,945.39 × 8,540.45
  4. Step 4: Simplify right side
    13,012.82x = 153,261,637.65
  5. Step 5: Solve for x
    x = 153,261,637.65/13,012.82
  6. Step 6: Final answer
    x = 11,777.75

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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.