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Finding the Fourth Proportional to 13,818.50, 20,727.21 and 3,957.38

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Solution

The fourth proportional to 13,818.50, 20,727.21 and 3,957.38 is: 5,935.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,818.50 : 20,727.21 = 3,957.38 : x
  2. Step 2: Convert to fraction form
    13,818.50/20,727.21 = 3,957.38/x
  3. Step 3: Cross multiply
    13,818.50x = 20,727.21 × 3,957.38
  4. Step 4: Simplify right side
    13,818.50x = 82,025,446.31
  5. Step 5: Solve for x
    x = 82,025,446.31/13,818.50
  6. Step 6: Final answer
    x = 5,935.92

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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.