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Finding the Fourth Proportional to 24,861.28, 37,283.04 and 8,218.24

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Solution

The fourth proportional to 24,861.28, 37,283.04 and 8,218.24 is: 12,324.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,861.28 : 37,283.04 = 8,218.24 : x
  2. Step 2: Convert to fraction form
    24,861.28/37,283.04 = 8,218.24/x
  3. Step 3: Cross multiply
    24,861.28x = 37,283.04 × 8,218.24
  4. Step 4: Simplify right side
    24,861.28x = 306,400,970.65
  5. Step 5: Solve for x
    x = 306,400,970.65/24,861.28
  6. Step 6: Final answer
    x = 12,324.42

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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.