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Finding the Fourth Proportional to 20,494.27, 30,729.08 and 13,900.47

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Solution

The fourth proportional to 20,494.27, 30,729.08 and 13,900.47 is: 20,842.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,494.27 : 30,729.08 = 13,900.47 : x
  2. Step 2: Convert to fraction form
    20,494.27/30,729.08 = 13,900.47/x
  3. Step 3: Cross multiply
    20,494.27x = 30,729.08 × 13,900.47
  4. Step 4: Simplify right side
    20,494.27x = 427,148,654.67
  5. Step 5: Solve for x
    x = 427,148,654.67/20,494.27
  6. Step 6: Final answer
    x = 20,842.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.