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Finding the Fourth Proportional to 17,321.54, 25,986.16 and 8,082.50

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Solution

The fourth proportional to 17,321.54, 25,986.16 and 8,082.50 is: 12,125.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,321.54 : 25,986.16 = 8,082.50 : x
  2. Step 2: Convert to fraction form
    17,321.54/25,986.16 = 8,082.50/x
  3. Step 3: Cross multiply
    17,321.54x = 25,986.16 × 8,082.50
  4. Step 4: Simplify right side
    17,321.54x = 210,033,138.20
  5. Step 5: Solve for x
    x = 210,033,138.20/17,321.54
  6. Step 6: Final answer
    x = 12,125.55

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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.