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Finding the Fourth Proportional to 20,494.63, 28,283.46 and 11,542.64

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Solution

The fourth proportional to 20,494.63, 28,283.46 and 11,542.64 is: 15,929.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,494.63 : 28,283.46 = 11,542.64 : x
  2. Step 2: Convert to fraction form
    20,494.63/28,283.46 = 11,542.64/x
  3. Step 3: Cross multiply
    20,494.63x = 28,283.46 × 11,542.64
  4. Step 4: Simplify right side
    20,494.63x = 326,465,796.73
  5. Step 5: Solve for x
    x = 326,465,796.73/20,494.63
  6. Step 6: Final answer
    x = 15,929.34

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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.