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Finding the Fourth Proportional to 16,229.92, 24,306 and 14,480.32

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Solution

The fourth proportional to 16,229.92, 24,306 and 14,480.32 is: 21,685.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,229.92 : 24,306 = 14,480.32 : x
  2. Step 2: Convert to fraction form
    16,229.92/24,306 = 14,480.32/x
  3. Step 3: Cross multiply
    16,229.92x = 24,306 × 14,480.32
  4. Step 4: Simplify right side
    16,229.92x = 351,958,657.92
  5. Step 5: Solve for x
    x = 351,958,657.92/16,229.92
  6. Step 6: Final answer
    x = 21,685.79

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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.