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Finding the Fourth Proportional to 13,379.16, 20,057.78 and 6,813.30

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Solution

The fourth proportional to 13,379.16, 20,057.78 and 6,813.30 is: 10,214.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,379.16 : 20,057.78 = 6,813.30 : x
  2. Step 2: Convert to fraction form
    13,379.16/20,057.78 = 6,813.30/x
  3. Step 3: Cross multiply
    13,379.16x = 20,057.78 × 6,813.30
  4. Step 4: Simplify right side
    13,379.16x = 136,659,672.47
  5. Step 5: Solve for x
    x = 136,659,672.47/13,379.16
  6. Step 6: Final answer
    x = 10,214.37

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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.