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Finding the Fourth Proportional to 13,059.36, 19,589 and 3,825.36

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Solution

The fourth proportional to 13,059.36, 19,589 and 3,825.36 is: 5,738.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,059.36 : 19,589 = 3,825.36 : x
  2. Step 2: Convert to fraction form
    13,059.36/19,589 = 3,825.36/x
  3. Step 3: Cross multiply
    13,059.36x = 19,589 × 3,825.36
  4. Step 4: Simplify right side
    13,059.36x = 74,934,977.04
  5. Step 5: Solve for x
    x = 74,934,977.04/13,059.36
  6. Step 6: Final answer
    x = 5,738.03

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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.