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Finding the Fourth Proportional to 27,580.33, 41,376.68 and 8,861.43

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Solution

The fourth proportional to 27,580.33, 41,376.68 and 8,861.43 is: 13,294.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,580.33 : 41,376.68 = 8,861.43 : x
  2. Step 2: Convert to fraction form
    27,580.33/41,376.68 = 8,861.43/x
  3. Step 3: Cross multiply
    27,580.33x = 41,376.68 × 8,861.43
  4. Step 4: Simplify right side
    27,580.33x = 366,656,553.45
  5. Step 5: Solve for x
    x = 366,656,553.45/27,580.33
  6. Step 6: Final answer
    x = 13,294.13

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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.