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Finding the Fourth Proportional to 24,074.52, 33,229.02 and 14,649.72

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Solution

The fourth proportional to 24,074.52, 33,229.02 and 14,649.72 is: 20,220.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,074.52 : 33,229.02 = 14,649.72 : x
  2. Step 2: Convert to fraction form
    24,074.52/33,229.02 = 14,649.72/x
  3. Step 3: Cross multiply
    24,074.52x = 33,229.02 × 14,649.72
  4. Step 4: Simplify right side
    24,074.52x = 486,795,838.87
  5. Step 5: Solve for x
    x = 486,795,838.87/24,074.52
  6. Step 6: Final answer
    x = 20,220.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.