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Finding the Fourth Proportional to 20,706.54, 28,575.72 and 11,633.48

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Solution

The fourth proportional to 20,706.54, 28,575.72 and 11,633.48 is: 16,054.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,706.54 : 28,575.72 = 11,633.48 : x
  2. Step 2: Convert to fraction form
    20,706.54/28,575.72 = 11,633.48/x
  3. Step 3: Cross multiply
    20,706.54x = 28,575.72 × 11,633.48
  4. Step 4: Simplify right side
    20,706.54x = 332,435,067.11
  5. Step 5: Solve for x
    x = 332,435,067.11/20,706.54
  6. Step 6: Final answer
    x = 16,054.59

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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.