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Finding the Fourth Proportional to 21,906.85, 30,231.42 and 12,475.41

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Solution

The fourth proportional to 21,906.85, 30,231.42 and 12,475.41 is: 17,216.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,906.85 : 30,231.42 = 12,475.41 : x
  2. Step 2: Convert to fraction form
    21,906.85/30,231.42 = 12,475.41/x
  3. Step 3: Cross multiply
    21,906.85x = 30,231.42 × 12,475.41
  4. Step 4: Simplify right side
    21,906.85x = 377,149,359.38
  5. Step 5: Solve for x
    x = 377,149,359.38/21,906.85
  6. Step 6: Final answer
    x = 17,216.05

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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.