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Finding the Fourth Proportional to 20,745.90, 31,100.31 and 9,049.86

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Solution

The fourth proportional to 20,745.90, 31,100.31 and 9,049.86 is: 13,566.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,745.90 : 31,100.31 = 9,049.86 : x
  2. Step 2: Convert to fraction form
    20,745.90/31,100.31 = 9,049.86/x
  3. Step 3: Cross multiply
    20,745.90x = 31,100.31 × 9,049.86
  4. Step 4: Simplify right side
    20,745.90x = 281,453,451.46
  5. Step 5: Solve for x
    x = 281,453,451.46/20,745.90
  6. Step 6: Final answer
    x = 13,566.70

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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.