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Finding the Fourth Proportional to 13,020.23, 17,968.24 and 7,987.23

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Solution

The fourth proportional to 13,020.23, 17,968.24 and 7,987.23 is: 11,022.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,020.23 : 17,968.24 = 7,987.23 : x
  2. Step 2: Convert to fraction form
    13,020.23/17,968.24 = 7,987.23/x
  3. Step 3: Cross multiply
    13,020.23x = 17,968.24 × 7,987.23
  4. Step 4: Simplify right side
    13,020.23x = 143,516,375.73
  5. Step 5: Solve for x
    x = 143,516,375.73/13,020.23
  6. Step 6: Final answer
    x = 11,022.57

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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.