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Finding the Fourth Proportional to 18,499.25, 27,746.12 and 6,809.73

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Solution

The fourth proportional to 18,499.25, 27,746.12 and 6,809.73 is: 10,213.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,499.25 : 27,746.12 = 6,809.73 : x
  2. Step 2: Convert to fraction form
    18,499.25/27,746.12 = 6,809.73/x
  3. Step 3: Cross multiply
    18,499.25x = 27,746.12 × 6,809.73
  4. Step 4: Simplify right side
    18,499.25x = 188,943,551.70
  5. Step 5: Solve for x
    x = 188,943,551.70/18,499.25
  6. Step 6: Final answer
    x = 10,213.58

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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.