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Finding the Fourth Proportional to 15,082.17, 20,812.39 and 8,367.57

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Solution

The fourth proportional to 15,082.17, 20,812.39 and 8,367.57 is: 11,546.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,082.17 : 20,812.39 = 8,367.57 : x
  2. Step 2: Convert to fraction form
    15,082.17/20,812.39 = 8,367.57/x
  3. Step 3: Cross multiply
    15,082.17x = 20,812.39 × 8,367.57
  4. Step 4: Simplify right side
    15,082.17x = 174,149,156.34
  5. Step 5: Solve for x
    x = 174,149,156.34/15,082.17
  6. Step 6: Final answer
    x = 11,546.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.