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Finding the Fourth Proportional to 14,794, 22,180.05 and 8,949.31

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Solution

The fourth proportional to 14,794, 22,180.05 and 8,949.31 is: 13,417.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,794 : 22,180.05 = 8,949.31 : x
  2. Step 2: Convert to fraction form
    14,794/22,180.05 = 8,949.31/x
  3. Step 3: Cross multiply
    14,794x = 22,180.05 × 8,949.31
  4. Step 4: Simplify right side
    14,794x = 198,496,143.27
  5. Step 5: Solve for x
    x = 198,496,143.27/14,794
  6. Step 6: Final answer
    x = 13,417.34

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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.