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Finding the Fourth Proportional to 18,206.84, 27,320.87 and 7,676.21

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Solution

The fourth proportional to 18,206.84, 27,320.87 and 7,676.21 is: 11,518.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,206.84 : 27,320.87 = 7,676.21 : x
  2. Step 2: Convert to fraction form
    18,206.84/27,320.87 = 7,676.21/x
  3. Step 3: Cross multiply
    18,206.84x = 27,320.87 × 7,676.21
  4. Step 4: Simplify right side
    18,206.84x = 209,720,735.50
  5. Step 5: Solve for x
    x = 209,720,735.50/18,206.84
  6. Step 6: Final answer
    x = 11,518.79

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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.