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Finding the Fourth Proportional to 27,511.70, 41,270.28 and 9,982.89

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Solution

The fourth proportional to 27,511.70, 41,270.28 and 9,982.89 is: 14,975.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,511.70 : 41,270.28 = 9,982.89 : x
  2. Step 2: Convert to fraction form
    27,511.70/41,270.28 = 9,982.89/x
  3. Step 3: Cross multiply
    27,511.70x = 41,270.28 × 9,982.89
  4. Step 4: Simplify right side
    27,511.70x = 411,996,628.07
  5. Step 5: Solve for x
    x = 411,996,628.07/27,511.70
  6. Step 6: Final answer
    x = 14,975.33

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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.