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Finding the Fourth Proportional to 13,500.86, 20,245.01 and 4,138.47

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Solution

The fourth proportional to 13,500.86, 20,245.01 and 4,138.47 is: 6,205.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,500.86 : 20,245.01 = 4,138.47 : x
  2. Step 2: Convert to fraction form
    13,500.86/20,245.01 = 4,138.47/x
  3. Step 3: Cross multiply
    13,500.86x = 20,245.01 × 4,138.47
  4. Step 4: Simplify right side
    13,500.86x = 83,783,345.84
  5. Step 5: Solve for x
    x = 83,783,345.84/13,500.86
  6. Step 6: Final answer
    x = 6,205.78

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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.