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Finding the Fourth Proportional to 13,800.36, 20,709.02 and 5,478.92

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Solution

The fourth proportional to 13,800.36, 20,709.02 and 5,478.92 is: 8,221.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,800.36 : 20,709.02 = 5,478.92 : x
  2. Step 2: Convert to fraction form
    13,800.36/20,709.02 = 5,478.92/x
  3. Step 3: Cross multiply
    13,800.36x = 20,709.02 × 5,478.92
  4. Step 4: Simplify right side
    13,800.36x = 113,463,063.86
  5. Step 5: Solve for x
    x = 113,463,063.86/13,800.36
  6. Step 6: Final answer
    x = 8,221.75

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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.