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Finding the Fourth Proportional to 15,813.27, 23,724.23 and 5,425.83

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Solution

The fourth proportional to 15,813.27, 23,724.23 and 5,425.83 is: 8,140.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,813.27 : 23,724.23 = 5,425.83 : x
  2. Step 2: Convert to fraction form
    15,813.27/23,724.23 = 5,425.83/x
  3. Step 3: Cross multiply
    15,813.27x = 23,724.23 × 5,425.83
  4. Step 4: Simplify right side
    15,813.27x = 128,723,611.73
  5. Step 5: Solve for x
    x = 128,723,611.73/15,813.27
  6. Step 6: Final answer
    x = 8,140.23

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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.