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Finding the Fourth Proportional to 14,480.97, 21,709.98 and 5,722.44

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Solution

The fourth proportional to 14,480.97, 21,709.98 and 5,722.44 is: 8,579.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,480.97 : 21,709.98 = 5,722.44 : x
  2. Step 2: Convert to fraction form
    14,480.97/21,709.98 = 5,722.44/x
  3. Step 3: Cross multiply
    14,480.97x = 21,709.98 × 5,722.44
  4. Step 4: Simplify right side
    14,480.97x = 124,234,057.95
  5. Step 5: Solve for x
    x = 124,234,057.95/14,480.97
  6. Step 6: Final answer
    x = 8,579.13

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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.