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Finding the Fourth Proportional to 21,687.14, 29,930.19 and 13,626.38

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Solution

The fourth proportional to 21,687.14, 29,930.19 and 13,626.38 is: 18,805.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,687.14 : 29,930.19 = 13,626.38 : x
  2. Step 2: Convert to fraction form
    21,687.14/29,930.19 = 13,626.38/x
  3. Step 3: Cross multiply
    21,687.14x = 29,930.19 × 13,626.38
  4. Step 4: Simplify right side
    21,687.14x = 407,840,166.14
  5. Step 5: Solve for x
    x = 407,840,166.14/21,687.14
  6. Step 6: Final answer
    x = 18,805.62

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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.