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Finding the Fourth Proportional to 15,231.80, 22,847.70 and 5,382.20

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Solution

The fourth proportional to 15,231.80, 22,847.70 and 5,382.20 is: 8,073.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,231.80 : 22,847.70 = 5,382.20 : x
  2. Step 2: Convert to fraction form
    15,231.80/22,847.70 = 5,382.20/x
  3. Step 3: Cross multiply
    15,231.80x = 22,847.70 × 5,382.20
  4. Step 4: Simplify right side
    15,231.80x = 122,970,890.94
  5. Step 5: Solve for x
    x = 122,970,890.94/15,231.80
  6. Step 6: Final answer
    x = 8,073.30

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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.