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Finding the Fourth Proportional to 20,535.64, 30,791.17 and 9,984.90

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Solution

The fourth proportional to 20,535.64, 30,791.17 and 9,984.90 is: 14,971.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,535.64 : 30,791.17 = 9,984.90 : x
  2. Step 2: Convert to fraction form
    20,535.64/30,791.17 = 9,984.90/x
  3. Step 3: Cross multiply
    20,535.64x = 30,791.17 × 9,984.90
  4. Step 4: Simplify right side
    20,535.64x = 307,446,753.33
  5. Step 5: Solve for x
    x = 307,446,753.33/20,535.64
  6. Step 6: Final answer
    x = 14,971.37

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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.