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Finding the Fourth Proportional to 22,450.97, 33,676.29 and 9,123.80

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Solution

The fourth proportional to 22,450.97, 33,676.29 and 9,123.80 is: 13,685.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,450.97 : 33,676.29 = 9,123.80 : x
  2. Step 2: Convert to fraction form
    22,450.97/33,676.29 = 9,123.80/x
  3. Step 3: Cross multiply
    22,450.97x = 33,676.29 × 9,123.80
  4. Step 4: Simplify right side
    22,450.97x = 307,255,566.32
  5. Step 5: Solve for x
    x = 307,255,566.32/22,450.97
  6. Step 6: Final answer
    x = 13,685.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.