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Finding the Fourth Proportional to 20,941.50, 31,411.99 and 6,149.88

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Solution

The fourth proportional to 20,941.50, 31,411.99 and 6,149.88 is: 9,224.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,941.50 : 31,411.99 = 6,149.88 : x
  2. Step 2: Convert to fraction form
    20,941.50/31,411.99 = 6,149.88/x
  3. Step 3: Cross multiply
    20,941.50x = 31,411.99 × 6,149.88
  4. Step 4: Simplify right side
    20,941.50x = 193,179,969.06
  5. Step 5: Solve for x
    x = 193,179,969.06/20,941.50
  6. Step 6: Final answer
    x = 9,224.74

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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.