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Finding the Fourth Proportional to 27,876.33, 41,802.70 and 11,231.89

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Solution

The fourth proportional to 27,876.33, 41,802.70 and 11,231.89 is: 16,843.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,876.33 : 41,802.70 = 11,231.89 : x
  2. Step 2: Convert to fraction form
    27,876.33/41,802.70 = 11,231.89/x
  3. Step 3: Cross multiply
    27,876.33x = 41,802.70 × 11,231.89
  4. Step 4: Simplify right side
    27,876.33x = 469,523,328.10
  5. Step 5: Solve for x
    x = 469,523,328.10/27,876.33
  6. Step 6: Final answer
    x = 16,843.08

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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.