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Finding the Fourth Proportional to 22,425.75, 33,638.29 and 7,644.99

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Solution

The fourth proportional to 22,425.75, 33,638.29 and 7,644.99 is: 11,467.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,425.75 : 33,638.29 = 7,644.99 : x
  2. Step 2: Convert to fraction form
    22,425.75/33,638.29 = 7,644.99/x
  3. Step 3: Cross multiply
    22,425.75x = 33,638.29 × 7,644.99
  4. Step 4: Simplify right side
    22,425.75x = 257,164,390.67
  5. Step 5: Solve for x
    x = 257,164,390.67/22,425.75
  6. Step 6: Final answer
    x = 11,467.37

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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.