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Finding the Fourth Proportional to 11,968.40, 17,932.34 and 8,681.42

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Solution

The fourth proportional to 11,968.40, 17,932.34 and 8,681.42 is: 13,007.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,968.40 : 17,932.34 = 8,681.42 : x
  2. Step 2: Convert to fraction form
    11,968.40/17,932.34 = 8,681.42/x
  3. Step 3: Cross multiply
    11,968.40x = 17,932.34 × 8,681.42
  4. Step 4: Simplify right side
    11,968.40x = 155,678,175.12
  5. Step 5: Solve for x
    x = 155,678,175.12/11,968.40
  6. Step 6: Final answer
    x = 13,007.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.