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Finding the Fourth Proportional to 20,694.72, 28,558.89 and 11,742.24

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Solution

The fourth proportional to 20,694.72, 28,558.89 and 11,742.24 is: 16,204.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,694.72 : 28,558.89 = 11,742.24 : x
  2. Step 2: Convert to fraction form
    20,694.72/28,558.89 = 11,742.24/x
  3. Step 3: Cross multiply
    20,694.72x = 28,558.89 × 11,742.24
  4. Step 4: Simplify right side
    20,694.72x = 335,345,340.51
  5. Step 5: Solve for x
    x = 335,345,340.51/20,694.72
  6. Step 6: Final answer
    x = 16,204.39

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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.