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Finding the Fourth Proportional to 20,538.53, 30,794.92 and 9,430.97

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Solution

The fourth proportional to 20,538.53, 30,794.92 and 9,430.97 is: 14,140.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,538.53 : 30,794.92 = 9,430.97 : x
  2. Step 2: Convert to fraction form
    20,538.53/30,794.92 = 9,430.97/x
  3. Step 3: Cross multiply
    20,538.53x = 30,794.92 × 9,430.97
  4. Step 4: Simplify right side
    20,538.53x = 290,425,789.12
  5. Step 5: Solve for x
    x = 290,425,789.12/20,538.53
  6. Step 6: Final answer
    x = 14,140.54

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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.