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Finding the Fourth Proportional to 24,863.07, 37,289.19 and 8,219.16

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Solution

The fourth proportional to 24,863.07, 37,289.19 and 8,219.16 is: 12,326.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,863.07 : 37,289.19 = 8,219.16 : x
  2. Step 2: Convert to fraction form
    24,863.07/37,289.19 = 8,219.16/x
  3. Step 3: Cross multiply
    24,863.07x = 37,289.19 × 8,219.16
  4. Step 4: Simplify right side
    24,863.07x = 306,485,818.88
  5. Step 5: Solve for x
    x = 306,485,818.88/24,863.07
  6. Step 6: Final answer
    x = 12,326.95

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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.