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Finding the Fourth Proportional to 16,479, 22,741.02 and 9,027

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Solution

The fourth proportional to 16,479, 22,741.02 and 9,027 is: 12,457.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,479 : 22,741.02 = 9,027 : x
  2. Step 2: Convert to fraction form
    16,479/22,741.02 = 9,027/x
  3. Step 3: Cross multiply
    16,479x = 22,741.02 × 9,027
  4. Step 4: Simplify right side
    16,479x = 205,283,187.54
  5. Step 5: Solve for x
    x = 205,283,187.54/16,479
  6. Step 6: Final answer
    x = 12,457.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.