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Finding the Fourth Proportional to 13,694.26, 18,898.07 and 7,406.62

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Solution

The fourth proportional to 13,694.26, 18,898.07 and 7,406.62 is: 10,221.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,694.26 : 18,898.07 = 7,406.62 : x
  2. Step 2: Convert to fraction form
    13,694.26/18,898.07 = 7,406.62/x
  3. Step 3: Cross multiply
    13,694.26x = 18,898.07 × 7,406.62
  4. Step 4: Simplify right side
    13,694.26x = 139,970,786.19
  5. Step 5: Solve for x
    x = 139,970,786.19/13,694.26
  6. Step 6: Final answer
    x = 10,221.13

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