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Finding the Fourth Proportional to 20,945.64, 31,423.11 and 6,910.02

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Solution

The fourth proportional to 20,945.64, 31,423.11 and 6,910.02 is: 10,366.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,945.64 : 31,423.11 = 6,910.02 : x
  2. Step 2: Convert to fraction form
    20,945.64/31,423.11 = 6,910.02/x
  3. Step 3: Cross multiply
    20,945.64x = 31,423.11 × 6,910.02
  4. Step 4: Simplify right side
    20,945.64x = 217,134,318.56
  5. Step 5: Solve for x
    x = 217,134,318.56/20,945.64
  6. Step 6: Final answer
    x = 10,366.56

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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.