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Finding the Fourth Proportional to 11,832.84, 16,223.43 and 11,622.12

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Solution

The fourth proportional to 11,832.84, 16,223.43 and 11,622.12 is: 15,934.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,832.84 : 16,223.43 = 11,622.12 : x
  2. Step 2: Convert to fraction form
    11,832.84/16,223.43 = 11,622.12/x
  3. Step 3: Cross multiply
    11,832.84x = 16,223.43 × 11,622.12
  4. Step 4: Simplify right side
    11,832.84x = 188,550,650.27
  5. Step 5: Solve for x
    x = 188,550,650.27/11,832.84
  6. Step 6: Final answer
    x = 15,934.52

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.