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Finding the Fourth Proportional to 20,735.56, 31,102.31 and 7,586.91

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Solution

The fourth proportional to 20,735.56, 31,102.31 and 7,586.91 is: 11,379.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,735.56 : 31,102.31 = 7,586.91 : x
  2. Step 2: Convert to fraction form
    20,735.56/31,102.31 = 7,586.91/x
  3. Step 3: Cross multiply
    20,735.56x = 31,102.31 × 7,586.91
  4. Step 4: Simplify right side
    20,735.56x = 235,970,445.73
  5. Step 5: Solve for x
    x = 235,970,445.73/20,735.56
  6. Step 6: Final answer
    x = 11,379.99

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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.