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Finding the Fourth Proportional to 24,856.80, 37,284.48 and 8,217.60

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Solution

The fourth proportional to 24,856.80, 37,284.48 and 8,217.60 is: 12,326.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,856.80 : 37,284.48 = 8,217.60 : x
  2. Step 2: Convert to fraction form
    24,856.80/37,284.48 = 8,217.60/x
  3. Step 3: Cross multiply
    24,856.80x = 37,284.48 × 8,217.60
  4. Step 4: Simplify right side
    24,856.80x = 306,388,942.85
  5. Step 5: Solve for x
    x = 306,388,942.85/24,856.80
  6. Step 6: Final answer
    x = 12,326.16

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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.