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Finding the Fourth Proportional to 11,736.92, 16,196.92 and 7,021.20

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Solution

The fourth proportional to 11,736.92, 16,196.92 and 7,021.20 is: 9,689.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,736.92 : 16,196.92 = 7,021.20 : x
  2. Step 2: Convert to fraction form
    11,736.92/16,196.92 = 7,021.20/x
  3. Step 3: Cross multiply
    11,736.92x = 16,196.92 × 7,021.20
  4. Step 4: Simplify right side
    11,736.92x = 113,721,814.70
  5. Step 5: Solve for x
    x = 113,721,814.70/11,736.92
  6. Step 6: Final answer
    x = 9,689.24

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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.