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Finding the Fourth Proportional to 23,149.50, 34,724.23 and 5,619.31

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Solution

The fourth proportional to 23,149.50, 34,724.23 and 5,619.31 is: 8,428.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,149.50 : 34,724.23 = 5,619.31 : x
  2. Step 2: Convert to fraction form
    23,149.50/34,724.23 = 5,619.31/x
  3. Step 3: Cross multiply
    23,149.50x = 34,724.23 × 5,619.31
  4. Step 4: Simplify right side
    23,149.50x = 195,126,112.02
  5. Step 5: Solve for x
    x = 195,126,112.02/23,149.50
  6. Step 6: Final answer
    x = 8,428.96

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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.