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Finding the Fourth Proportional to 17,882.28, 26,822.07 and 5,401.98

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Solution

The fourth proportional to 17,882.28, 26,822.07 and 5,401.98 is: 8,102.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,882.28 : 26,822.07 = 5,401.98 : x
  2. Step 2: Convert to fraction form
    17,882.28/26,822.07 = 5,401.98/x
  3. Step 3: Cross multiply
    17,882.28x = 26,822.07 × 5,401.98
  4. Step 4: Simplify right side
    17,882.28x = 144,892,285.70
  5. Step 5: Solve for x
    x = 144,892,285.70/17,882.28
  6. Step 6: Final answer
    x = 8,102.56

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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.