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Finding the Fourth Proportional to 27,511.13, 41,266.76 and 9,980.97

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Solution

The fourth proportional to 27,511.13, 41,266.76 and 9,980.97 is: 14,971.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,511.13 : 41,266.76 = 9,980.97 : x
  2. Step 2: Convert to fraction form
    27,511.13/41,266.76 = 9,980.97/x
  3. Step 3: Cross multiply
    27,511.13x = 41,266.76 × 9,980.97
  4. Step 4: Simplify right side
    27,511.13x = 411,882,243.65
  5. Step 5: Solve for x
    x = 411,882,243.65/27,511.13
  6. Step 6: Final answer
    x = 14,971.48

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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.