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Finding the Fourth Proportional to 24,212.38, 33,414.90 and 14,782.76

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Solution

The fourth proportional to 24,212.38, 33,414.90 and 14,782.76 is: 20,401.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,212.38 : 33,414.90 = 14,782.76 : x
  2. Step 2: Convert to fraction form
    24,212.38/33,414.90 = 14,782.76/x
  3. Step 3: Cross multiply
    24,212.38x = 33,414.90 × 14,782.76
  4. Step 4: Simplify right side
    24,212.38x = 493,964,447.12
  5. Step 5: Solve for x
    x = 493,964,447.12/24,212.38
  6. Step 6: Final answer
    x = 20,401.32

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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.