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Finding the Fourth Proportional to 20,494.96, 28,283.16 and 11,542.62

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Solution

The fourth proportional to 20,494.96, 28,283.16 and 11,542.62 is: 15,928.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,494.96 : 28,283.16 = 11,542.62 : x
  2. Step 2: Convert to fraction form
    20,494.96/28,283.16 = 11,542.62/x
  3. Step 3: Cross multiply
    20,494.96x = 28,283.16 × 11,542.62
  4. Step 4: Simplify right side
    20,494.96x = 326,461,768.28
  5. Step 5: Solve for x
    x = 326,461,768.28/20,494.96
  6. Step 6: Final answer
    x = 15,928.88

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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.