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Finding the Fourth Proportional to 21,993.75, 30,351.38 and 12,057.75

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Solution

The fourth proportional to 21,993.75, 30,351.38 and 12,057.75 is: 16,639.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,993.75 : 30,351.38 = 12,057.75 : x
  2. Step 2: Convert to fraction form
    21,993.75/30,351.38 = 12,057.75/x
  3. Step 3: Cross multiply
    21,993.75x = 30,351.38 × 12,057.75
  4. Step 4: Simplify right side
    21,993.75x = 365,969,291.91
  5. Step 5: Solve for x
    x = 365,969,291.91/21,993.75
  6. Step 6: Final answer
    x = 16,639.70

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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.