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Finding the Fourth Proportional to 14,229.84, 19,638 and 7,942.26

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Solution

The fourth proportional to 14,229.84, 19,638 and 7,942.26 is: 10,960.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,229.84 : 19,638 = 7,942.26 : x
  2. Step 2: Convert to fraction form
    14,229.84/19,638 = 7,942.26/x
  3. Step 3: Cross multiply
    14,229.84x = 19,638 × 7,942.26
  4. Step 4: Simplify right side
    14,229.84x = 155,970,101.88
  5. Step 5: Solve for x
    x = 155,970,101.88/14,229.84
  6. Step 6: Final answer
    x = 10,960.78

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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.