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Finding the Fourth Proportional to 13,662.11, 20,478.12 and 5,340.57

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Solution

The fourth proportional to 13,662.11, 20,478.12 and 5,340.57 is: 8,004.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,662.11 : 20,478.12 = 5,340.57 : x
  2. Step 2: Convert to fraction form
    13,662.11/20,478.12 = 5,340.57/x
  3. Step 3: Cross multiply
    13,662.11x = 20,478.12 × 5,340.57
  4. Step 4: Simplify right side
    13,662.11x = 109,364,833.33
  5. Step 5: Solve for x
    x = 109,364,833.33/13,662.11
  6. Step 6: Final answer
    x = 8,004.97

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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.