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Finding the Fourth Proportional to 17,825.64, 26,744.52 and 6,735.48

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Solution

The fourth proportional to 17,825.64, 26,744.52 and 6,735.48 is: 10,105.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,825.64 : 26,744.52 = 6,735.48 : x
  2. Step 2: Convert to fraction form
    17,825.64/26,744.52 = 6,735.48/x
  3. Step 3: Cross multiply
    17,825.64x = 26,744.52 × 6,735.48
  4. Step 4: Simplify right side
    17,825.64x = 180,137,179.57
  5. Step 5: Solve for x
    x = 180,137,179.57/17,825.64
  6. Step 6: Final answer
    x = 10,105.51

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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.