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Finding the Fourth Proportional to 12,405.08, 18,578.46 and 5,817.08

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Solution

The fourth proportional to 12,405.08, 18,578.46 and 5,817.08 is: 8,711.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,405.08 : 18,578.46 = 5,817.08 : x
  2. Step 2: Convert to fraction form
    12,405.08/18,578.46 = 5,817.08/x
  3. Step 3: Cross multiply
    12,405.08x = 18,578.46 × 5,817.08
  4. Step 4: Simplify right side
    12,405.08x = 108,072,388.10
  5. Step 5: Solve for x
    x = 108,072,388.10/12,405.08
  6. Step 6: Final answer
    x = 8,711.95

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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.