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Finding the Fourth Proportional to 17,325, 25,989.12 and 5,635.08

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Solution

The fourth proportional to 17,325, 25,989.12 and 5,635.08 is: 8,453.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,325 : 25,989.12 = 5,635.08 : x
  2. Step 2: Convert to fraction form
    17,325/25,989.12 = 5,635.08/x
  3. Step 3: Cross multiply
    17,325x = 25,989.12 × 5,635.08
  4. Step 4: Simplify right side
    17,325x = 146,450,770.33
  5. Step 5: Solve for x
    x = 146,450,770.33/17,325
  6. Step 6: Final answer
    x = 8,453.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.