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Finding the Fourth Proportional to 20,937.45, 31,380.62 and 9,829.31

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Solution

The fourth proportional to 20,937.45, 31,380.62 and 9,829.31 is: 14,731.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,937.45 : 31,380.62 = 9,829.31 : x
  2. Step 2: Convert to fraction form
    20,937.45/31,380.62 = 9,829.31/x
  3. Step 3: Cross multiply
    20,937.45x = 31,380.62 × 9,829.31
  4. Step 4: Simplify right side
    20,937.45x = 308,449,635.92
  5. Step 5: Solve for x
    x = 308,449,635.92/20,937.45
  6. Step 6: Final answer
    x = 14,731.96

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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.