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Finding the Fourth Proportional to 13,387.14, 20,093.16 and 6,818.24

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Solution

The fourth proportional to 13,387.14, 20,093.16 and 6,818.24 is: 10,233.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,387.14 : 20,093.16 = 6,818.24 : x
  2. Step 2: Convert to fraction form
    13,387.14/20,093.16 = 6,818.24/x
  3. Step 3: Cross multiply
    13,387.14x = 20,093.16 × 6,818.24
  4. Step 4: Simplify right side
    13,387.14x = 137,000,063.04
  5. Step 5: Solve for x
    x = 137,000,063.04/13,387.14
  6. Step 6: Final answer
    x = 10,233.71

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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.