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Finding the Fourth Proportional to 25,662.36, 38,496.18 and 6,942.48

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Solution

The fourth proportional to 25,662.36, 38,496.18 and 6,942.48 is: 10,414.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,662.36 : 38,496.18 = 6,942.48 : x
  2. Step 2: Convert to fraction form
    25,662.36/38,496.18 = 6,942.48/x
  3. Step 3: Cross multiply
    25,662.36x = 38,496.18 × 6,942.48
  4. Step 4: Simplify right side
    25,662.36x = 267,258,959.73
  5. Step 5: Solve for x
    x = 267,258,959.73/25,662.36
  6. Step 6: Final answer
    x = 10,414.43

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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.