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Finding the Fourth Proportional to 12,078.24, 18,114.36 and 6,815.56

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Solution

The fourth proportional to 12,078.24, 18,114.36 and 6,815.56 is: 10,221.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,078.24 : 18,114.36 = 6,815.56 : x
  2. Step 2: Convert to fraction form
    12,078.24/18,114.36 = 6,815.56/x
  3. Step 3: Cross multiply
    12,078.24x = 18,114.36 × 6,815.56
  4. Step 4: Simplify right side
    12,078.24x = 123,459,507.44
  5. Step 5: Solve for x
    x = 123,459,507.44/12,078.24
  6. Step 6: Final answer
    x = 10,221.65

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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.