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Finding the Fourth Proportional to 24,861.77, 37,284.73 and 8,218.70

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Solution

The fourth proportional to 24,861.77, 37,284.73 and 8,218.70 is: 12,325.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,861.77 : 37,284.73 = 8,218.70 : x
  2. Step 2: Convert to fraction form
    24,861.77/37,284.73 = 8,218.70/x
  3. Step 3: Cross multiply
    24,861.77x = 37,284.73 × 8,218.70
  4. Step 4: Simplify right side
    24,861.77x = 306,432,010.45
  5. Step 5: Solve for x
    x = 306,432,010.45/24,861.77
  6. Step 6: Final answer
    x = 12,325.43

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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.