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Finding the Fourth Proportional to 20,984.40, 31,474.08 and 7,833.24

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Solution

The fourth proportional to 20,984.40, 31,474.08 and 7,833.24 is: 11,748.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,984.40 : 31,474.08 = 7,833.24 : x
  2. Step 2: Convert to fraction form
    20,984.40/31,474.08 = 7,833.24/x
  3. Step 3: Cross multiply
    20,984.40x = 31,474.08 × 7,833.24
  4. Step 4: Simplify right side
    20,984.40x = 246,544,022.42
  5. Step 5: Solve for x
    x = 246,544,022.42/20,984.40
  6. Step 6: Final answer
    x = 11,748.92

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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.