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Finding the Fourth Proportional to 13,678.73, 20,519.23 and 3,818.12

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Solution

The fourth proportional to 13,678.73, 20,519.23 and 3,818.12 is: 5,727.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,678.73 : 20,519.23 = 3,818.12 : x
  2. Step 2: Convert to fraction form
    13,678.73/20,519.23 = 3,818.12/x
  3. Step 3: Cross multiply
    13,678.73x = 20,519.23 × 3,818.12
  4. Step 4: Simplify right side
    13,678.73x = 78,344,882.45
  5. Step 5: Solve for x
    x = 78,344,882.45/13,678.73
  6. Step 6: Final answer
    x = 5,727.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.