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Finding the Fourth Proportional to 22,205.34, 30,645.09 and 12,514.05

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Solution

The fourth proportional to 22,205.34, 30,645.09 and 12,514.05 is: 17,270.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,205.34 : 30,645.09 = 12,514.05 : x
  2. Step 2: Convert to fraction form
    22,205.34/30,645.09 = 12,514.05/x
  3. Step 3: Cross multiply
    22,205.34x = 30,645.09 × 12,514.05
  4. Step 4: Simplify right side
    22,205.34x = 383,494,188.51
  5. Step 5: Solve for x
    x = 383,494,188.51/22,205.34
  6. Step 6: Final answer
    x = 17,270.36

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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.