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Finding the Fourth Proportional to 22,313.26, 30,788.87 and 12,880

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Solution

The fourth proportional to 22,313.26, 30,788.87 and 12,880 is: 17,772.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,313.26 : 30,788.87 = 12,880 : x
  2. Step 2: Convert to fraction form
    22,313.26/30,788.87 = 12,880/x
  3. Step 3: Cross multiply
    22,313.26x = 30,788.87 × 12,880
  4. Step 4: Simplify right side
    22,313.26x = 396,560,645.60
  5. Step 5: Solve for x
    x = 396,560,645.60/22,313.26
  6. Step 6: Final answer
    x = 17,772.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.