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Finding the Fourth Proportional to 13,258.69, 19,885.24 and 3,896.17

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Solution

The fourth proportional to 13,258.69, 19,885.24 and 3,896.17 is: 5,843.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,258.69 : 19,885.24 = 3,896.17 : x
  2. Step 2: Convert to fraction form
    13,258.69/19,885.24 = 3,896.17/x
  3. Step 3: Cross multiply
    13,258.69x = 19,885.24 × 3,896.17
  4. Step 4: Simplify right side
    13,258.69x = 77,476,286.62
  5. Step 5: Solve for x
    x = 77,476,286.62/13,258.69
  6. Step 6: Final answer
    x = 5,843.43

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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.