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Finding the Fourth Proportional to 14,809.78, 22,212.26 and 4,949.04

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Solution

The fourth proportional to 14,809.78, 22,212.26 and 4,949.04 is: 7,422.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,809.78 : 22,212.26 = 4,949.04 : x
  2. Step 2: Convert to fraction form
    14,809.78/22,212.26 = 4,949.04/x
  3. Step 3: Cross multiply
    14,809.78x = 22,212.26 × 4,949.04
  4. Step 4: Simplify right side
    14,809.78x = 109,929,375.60
  5. Step 5: Solve for x
    x = 109,929,375.60/14,809.78
  6. Step 6: Final answer
    x = 7,422.76

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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.