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Finding the Fourth Proportional to 22,790, 31,450.24 and 12,854

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Solution

The fourth proportional to 22,790, 31,450.24 and 12,854 is: 17,738.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,790 : 31,450.24 = 12,854 : x
  2. Step 2: Convert to fraction form
    22,790/31,450.24 = 12,854/x
  3. Step 3: Cross multiply
    22,790x = 31,450.24 × 12,854
  4. Step 4: Simplify right side
    22,790x = 404,261,384.96
  5. Step 5: Solve for x
    x = 404,261,384.96/22,790
  6. Step 6: Final answer
    x = 17,738.54

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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.