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Finding the Fourth Proportional to 23,834.40, 32,816.70 and 20,241.90

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Solution

The fourth proportional to 23,834.40, 32,816.70 and 20,241.90 is: 27,870.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,834.40 : 32,816.70 = 20,241.90 : x
  2. Step 2: Convert to fraction form
    23,834.40/32,816.70 = 20,241.90/x
  3. Step 3: Cross multiply
    23,834.40x = 32,816.70 × 20,241.90
  4. Step 4: Simplify right side
    23,834.40x = 664,272,359.73
  5. Step 5: Solve for x
    x = 664,272,359.73/23,834.40
  6. Step 6: Final answer
    x = 27,870.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.