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Finding the Fourth Proportional to 11,819.66, 17,730.03 and 4,422.20

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Solution

The fourth proportional to 11,819.66, 17,730.03 and 4,422.20 is: 6,633.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,819.66 : 17,730.03 = 4,422.20 : x
  2. Step 2: Convert to fraction form
    11,819.66/17,730.03 = 4,422.20/x
  3. Step 3: Cross multiply
    11,819.66x = 17,730.03 × 4,422.20
  4. Step 4: Simplify right side
    11,819.66x = 78,405,738.67
  5. Step 5: Solve for x
    x = 78,405,738.67/11,819.66
  6. Step 6: Final answer
    x = 6,633.50

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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.