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Finding the Fourth Proportional to 20,919.90, 31,358.79 and 9,231.06

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Solution

The fourth proportional to 20,919.90, 31,358.79 and 9,231.06 is: 13,837.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,919.90 : 31,358.79 = 9,231.06 : x
  2. Step 2: Convert to fraction form
    20,919.90/31,358.79 = 9,231.06/x
  3. Step 3: Cross multiply
    20,919.90x = 31,358.79 × 9,231.06
  4. Step 4: Simplify right side
    20,919.90x = 289,474,872.02
  5. Step 5: Solve for x
    x = 289,474,872.02/20,919.90
  6. Step 6: Final answer
    x = 13,837.30

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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.