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Finding the Fourth Proportional to 22,514.34, 33,771.51 and 5,874.33

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Solution

The fourth proportional to 22,514.34, 33,771.51 and 5,874.33 is: 8,811.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,514.34 : 33,771.51 = 5,874.33 : x
  2. Step 2: Convert to fraction form
    22,514.34/33,771.51 = 5,874.33/x
  3. Step 3: Cross multiply
    22,514.34x = 33,771.51 × 5,874.33
  4. Step 4: Simplify right side
    22,514.34x = 198,384,994.34
  5. Step 5: Solve for x
    x = 198,384,994.34/22,514.34
  6. Step 6: Final answer
    x = 8,811.50

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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.