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Finding the Fourth Proportional to 14,122.82, 21,198 and 6,732.38

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Solution

The fourth proportional to 14,122.82, 21,198 and 6,732.38 is: 10,105.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,122.82 : 21,198 = 6,732.38 : x
  2. Step 2: Convert to fraction form
    14,122.82/21,198 = 6,732.38/x
  3. Step 3: Cross multiply
    14,122.82x = 21,198 × 6,732.38
  4. Step 4: Simplify right side
    14,122.82x = 142,712,991.24
  5. Step 5: Solve for x
    x = 142,712,991.24/14,122.82
  6. Step 6: Final answer
    x = 10,105.13

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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.