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Finding the Fourth Proportional to 17,082.90, 25,629.15 and 8,318.10

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Solution

The fourth proportional to 17,082.90, 25,629.15 and 8,318.10 is: 12,479.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,082.90 : 25,629.15 = 8,318.10 : x
  2. Step 2: Convert to fraction form
    17,082.90/25,629.15 = 8,318.10/x
  3. Step 3: Cross multiply
    17,082.90x = 25,629.15 × 8,318.10
  4. Step 4: Simplify right side
    17,082.90x = 213,185,832.62
  5. Step 5: Solve for x
    x = 213,185,832.62/17,082.90
  6. Step 6: Final answer
    x = 12,479.49

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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.