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Finding the Fourth Proportional to 27,628.38, 41,448.96 and 10,098.36

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Solution

The fourth proportional to 27,628.38, 41,448.96 and 10,098.36 is: 15,149.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,628.38 : 41,448.96 = 10,098.36 : x
  2. Step 2: Convert to fraction form
    27,628.38/41,448.96 = 10,098.36/x
  3. Step 3: Cross multiply
    27,628.38x = 41,448.96 × 10,098.36
  4. Step 4: Simplify right side
    27,628.38x = 418,566,519.71
  5. Step 5: Solve for x
    x = 418,566,519.71/27,628.38
  6. Step 6: Final answer
    x = 15,149.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.