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Finding the Fourth Proportional to 20,896.42, 31,322.76 and 9,793.75

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Solution

The fourth proportional to 20,896.42, 31,322.76 and 9,793.75 is: 14,680.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,896.42 : 31,322.76 = 9,793.75 : x
  2. Step 2: Convert to fraction form
    20,896.42/31,322.76 = 9,793.75/x
  3. Step 3: Cross multiply
    20,896.42x = 31,322.76 × 9,793.75
  4. Step 4: Simplify right side
    20,896.42x = 306,767,280.75
  5. Step 5: Solve for x
    x = 306,767,280.75/20,896.42
  6. Step 6: Final answer
    x = 14,680.37

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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.