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Finding the Fourth Proportional to 29,418, 40,596.84 and 16,170

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Solution

The fourth proportional to 29,418, 40,596.84 and 16,170 is: 22,314.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,418 : 40,596.84 = 16,170 : x
  2. Step 2: Convert to fraction form
    29,418/40,596.84 = 16,170/x
  3. Step 3: Cross multiply
    29,418x = 40,596.84 × 16,170
  4. Step 4: Simplify right side
    29,418x = 656,450,902.80
  5. Step 5: Solve for x
    x = 656,450,902.80/29,418
  6. Step 6: Final answer
    x = 22,314.60

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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.