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Finding the Fourth Proportional to 17,452.28, 26,178.42 and 8,219

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Solution

The fourth proportional to 17,452.28, 26,178.42 and 8,219 is: 12,328.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,452.28 : 26,178.42 = 8,219 : x
  2. Step 2: Convert to fraction form
    17,452.28/26,178.42 = 8,219/x
  3. Step 3: Cross multiply
    17,452.28x = 26,178.42 × 8,219
  4. Step 4: Simplify right side
    17,452.28x = 215,160,433.98
  5. Step 5: Solve for x
    x = 215,160,433.98/17,452.28
  6. Step 6: Final answer
    x = 12,328.50

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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.