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Finding the Fourth Proportional to 24,540, 33,865.20 and 14,604

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Solution

The fourth proportional to 24,540, 33,865.20 and 14,604 is: 20,153.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,540 : 33,865.20 = 14,604 : x
  2. Step 2: Convert to fraction form
    24,540/33,865.20 = 14,604/x
  3. Step 3: Cross multiply
    24,540x = 33,865.20 × 14,604
  4. Step 4: Simplify right side
    24,540x = 494,567,380.80
  5. Step 5: Solve for x
    x = 494,567,380.80/24,540
  6. Step 6: Final answer
    x = 20,153.52

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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.