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Finding the Fourth Proportional to 13,694.50, 18,898.38 and 7,406.88

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Solution

The fourth proportional to 13,694.50, 18,898.38 and 7,406.88 is: 10,221.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,694.50 : 18,898.38 = 7,406.88 : x
  2. Step 2: Convert to fraction form
    13,694.50/18,898.38 = 7,406.88/x
  3. Step 3: Cross multiply
    13,694.50x = 18,898.38 × 7,406.88
  4. Step 4: Simplify right side
    13,694.50x = 139,978,032.85
  5. Step 5: Solve for x
    x = 139,978,032.85/13,694.50
  6. Step 6: Final answer
    x = 10,221.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.