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Finding the Fourth Proportional to 22,170, 30,569.40 and 16,514.56

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Solution

The fourth proportional to 22,170, 30,569.40 and 16,514.56 is: 22,771.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,170 : 30,569.40 = 16,514.56 : x
  2. Step 2: Convert to fraction form
    22,170/30,569.40 = 16,514.56/x
  3. Step 3: Cross multiply
    22,170x = 30,569.40 × 16,514.56
  4. Step 4: Simplify right side
    22,170x = 504,840,190.46
  5. Step 5: Solve for x
    x = 504,840,190.46/22,170
  6. Step 6: Final answer
    x = 22,771.32

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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.