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Finding the Fourth Proportional to 13,540.97, 18,687.46 and 7,573.20

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Solution

The fourth proportional to 13,540.97, 18,687.46 and 7,573.20 is: 10,451.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,540.97 : 18,687.46 = 7,573.20 : x
  2. Step 2: Convert to fraction form
    13,540.97/18,687.46 = 7,573.20/x
  3. Step 3: Cross multiply
    13,540.97x = 18,687.46 × 7,573.20
  4. Step 4: Simplify right side
    13,540.97x = 141,523,797.26
  5. Step 5: Solve for x
    x = 141,523,797.26/13,540.97
  6. Step 6: Final answer
    x = 10,451.52

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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.