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Finding the Fourth Proportional to 13,643.97, 20,445.09 and 9,185.12

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Solution

The fourth proportional to 13,643.97, 20,445.09 and 9,185.12 is: 13,763.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643.97 : 20,445.09 = 9,185.12 : x
  2. Step 2: Convert to fraction form
    13,643.97/20,445.09 = 9,185.12/x
  3. Step 3: Cross multiply
    13,643.97x = 20,445.09 × 9,185.12
  4. Step 4: Simplify right side
    13,643.97x = 187,790,605.06
  5. Step 5: Solve for x
    x = 187,790,605.06/13,643.97
  6. Step 6: Final answer
    x = 13,763.63

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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.