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Finding the Fourth Proportional to 20,645.82, 28,491.21 and 11,214.39

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Solution

The fourth proportional to 20,645.82, 28,491.21 and 11,214.39 is: 15,475.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,645.82 : 28,491.21 = 11,214.39 : x
  2. Step 2: Convert to fraction form
    20,645.82/28,491.21 = 11,214.39/x
  3. Step 3: Cross multiply
    20,645.82x = 28,491.21 × 11,214.39
  4. Step 4: Simplify right side
    20,645.82x = 319,511,540.51
  5. Step 5: Solve for x
    x = 319,511,540.51/20,645.82
  6. Step 6: Final answer
    x = 15,475.85

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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.