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Finding the Fourth Proportional to 13,396.27, 18,491.64 and 9,144.29

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Solution

The fourth proportional to 13,396.27, 18,491.64 and 9,144.29 is: 12,622.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,396.27 : 18,491.64 = 9,144.29 : x
  2. Step 2: Convert to fraction form
    13,396.27/18,491.64 = 9,144.29/x
  3. Step 3: Cross multiply
    13,396.27x = 18,491.64 × 9,144.29
  4. Step 4: Simplify right side
    13,396.27x = 169,092,918.74
  5. Step 5: Solve for x
    x = 169,092,918.74/13,396.27
  6. Step 6: Final answer
    x = 12,622.39

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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.