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Finding the Fourth Proportional to 11,221.56, 16,824.06 and 3,824.04

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Solution

The fourth proportional to 11,221.56, 16,824.06 and 3,824.04 is: 5,733.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,221.56 : 16,824.06 = 3,824.04 : x
  2. Step 2: Convert to fraction form
    11,221.56/16,824.06 = 3,824.04/x
  3. Step 3: Cross multiply
    11,221.56x = 16,824.06 × 3,824.04
  4. Step 4: Simplify right side
    11,221.56x = 64,335,878.40
  5. Step 5: Solve for x
    x = 64,335,878.40/11,221.56
  6. Step 6: Final answer
    x = 5,733.24

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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.