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Finding the Fourth Proportional to 13,422.97, 18,522.34 and 7,837.21

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Solution

The fourth proportional to 13,422.97, 18,522.34 and 7,837.21 is: 10,814.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,422.97 : 18,522.34 = 7,837.21 : x
  2. Step 2: Convert to fraction form
    13,422.97/18,522.34 = 7,837.21/x
  3. Step 3: Cross multiply
    13,422.97x = 18,522.34 × 7,837.21
  4. Step 4: Simplify right side
    13,422.97x = 145,163,468.27
  5. Step 5: Solve for x
    x = 145,163,468.27/13,422.97
  6. Step 6: Final answer
    x = 10,814.56

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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.