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Finding the Fourth Proportional to 12,378.63, 18,567.90 and 8,226.75

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Solution

The fourth proportional to 12,378.63, 18,567.90 and 8,226.75 is: 12,340.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,378.63 : 18,567.90 = 8,226.75 : x
  2. Step 2: Convert to fraction form
    12,378.63/18,567.90 = 8,226.75/x
  3. Step 3: Cross multiply
    12,378.63x = 18,567.90 × 8,226.75
  4. Step 4: Simplify right side
    12,378.63x = 152,753,471.33
  5. Step 5: Solve for x
    x = 152,753,471.33/12,378.63
  6. Step 6: Final answer
    x = 12,340.10

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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.