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Finding the Fourth Proportional to 11,221.47, 16,832.22 and 4,201.20

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Solution

The fourth proportional to 11,221.47, 16,832.22 and 4,201.20 is: 6,301.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,221.47 : 16,832.22 = 4,201.20 : x
  2. Step 2: Convert to fraction form
    11,221.47/16,832.22 = 4,201.20/x
  3. Step 3: Cross multiply
    11,221.47x = 16,832.22 × 4,201.20
  4. Step 4: Simplify right side
    11,221.47x = 70,715,522.66
  5. Step 5: Solve for x
    x = 70,715,522.66/11,221.47
  6. Step 6: Final answer
    x = 6,301.81

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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.