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Finding the Fourth Proportional to 19,968.26, 27,567 and 12,012.26

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Solution

The fourth proportional to 19,968.26, 27,567 and 12,012.26 is: 16,583.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,968.26 : 27,567 = 12,012.26 : x
  2. Step 2: Convert to fraction form
    19,968.26/27,567 = 12,012.26/x
  3. Step 3: Cross multiply
    19,968.26x = 27,567 × 12,012.26
  4. Step 4: Simplify right side
    19,968.26x = 331,141,971.42
  5. Step 5: Solve for x
    x = 331,141,971.42/19,968.26
  6. Step 6: Final answer
    x = 16,583.42

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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.