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Finding the Fourth Proportional to 24,546.22, 33,874.74 and 13,936.84

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Solution

The fourth proportional to 24,546.22, 33,874.74 and 13,936.84 is: 19,233.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,546.22 : 33,874.74 = 13,936.84 : x
  2. Step 2: Convert to fraction form
    24,546.22/33,874.74 = 13,936.84/x
  3. Step 3: Cross multiply
    24,546.22x = 33,874.74 × 13,936.84
  4. Step 4: Simplify right side
    24,546.22x = 472,106,831.42
  5. Step 5: Solve for x
    x = 472,106,831.42/24,546.22
  6. Step 6: Final answer
    x = 19,233.38

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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.