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Finding the Fourth Proportional to 19,949.09, 27,529.94 and 10,996.94

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Solution

The fourth proportional to 19,949.09, 27,529.94 and 10,996.94 is: 15,175.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,949.09 : 27,529.94 = 10,996.94 : x
  2. Step 2: Convert to fraction form
    19,949.09/27,529.94 = 10,996.94/x
  3. Step 3: Cross multiply
    19,949.09x = 27,529.94 × 10,996.94
  4. Step 4: Simplify right side
    19,949.09x = 302,745,098.38
  5. Step 5: Solve for x
    x = 302,745,098.38/19,949.09
  6. Step 6: Final answer
    x = 15,175.89

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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.