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Finding the Fourth Proportional to 20,796.78, 31,209.69 and 9,113.34

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Solution

The fourth proportional to 20,796.78, 31,209.69 and 9,113.34 is: 13,676.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,796.78 : 31,209.69 = 9,113.34 : x
  2. Step 2: Convert to fraction form
    20,796.78/31,209.69 = 9,113.34/x
  3. Step 3: Cross multiply
    20,796.78x = 31,209.69 × 9,113.34
  4. Step 4: Simplify right side
    20,796.78x = 284,424,516.26
  5. Step 5: Solve for x
    x = 284,424,516.26/20,796.78
  6. Step 6: Final answer
    x = 13,676.37

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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.