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Finding the Fourth Proportional to 16,105.88, 22,226.06 and 9,032.28

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Solution

The fourth proportional to 16,105.88, 22,226.06 and 9,032.28 is: 12,464.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,105.88 : 22,226.06 = 9,032.28 : x
  2. Step 2: Convert to fraction form
    16,105.88/22,226.06 = 9,032.28/x
  3. Step 3: Cross multiply
    16,105.88x = 22,226.06 × 9,032.28
  4. Step 4: Simplify right side
    16,105.88x = 200,751,997.22
  5. Step 5: Solve for x
    x = 200,751,997.22/16,105.88
  6. Step 6: Final answer
    x = 12,464.52

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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.