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Finding the Fourth Proportional to 24,863.96, 37,296.84 and 8,224.40

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Solution

The fourth proportional to 24,863.96, 37,296.84 and 8,224.40 is: 12,336.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,863.96 : 37,296.84 = 8,224.40 : x
  2. Step 2: Convert to fraction form
    24,863.96/37,296.84 = 8,224.40/x
  3. Step 3: Cross multiply
    24,863.96x = 37,296.84 × 8,224.40
  4. Step 4: Simplify right side
    24,863.96x = 306,744,130.90
  5. Step 5: Solve for x
    x = 306,744,130.90/24,863.96
  6. Step 6: Final answer
    x = 12,336.90

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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.