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Finding the Fourth Proportional to 24,850.40, 37,276.76 and 8,211.92

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Solution

The fourth proportional to 24,850.40, 37,276.76 and 8,211.92 is: 12,318.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,850.40 : 37,276.76 = 8,211.92 : x
  2. Step 2: Convert to fraction form
    24,850.40/37,276.76 = 8,211.92/x
  3. Step 3: Cross multiply
    24,850.40x = 37,276.76 × 8,211.92
  4. Step 4: Simplify right side
    24,850.40x = 306,113,605.13
  5. Step 5: Solve for x
    x = 306,113,605.13/24,850.40
  6. Step 6: Final answer
    x = 12,318.26

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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.