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Finding the Fourth Proportional to 27,877.87, 41,805.42 and 13,832.78

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Solution

The fourth proportional to 27,877.87, 41,805.42 and 13,832.78 is: 20,743.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,877.87 : 41,805.42 = 13,832.78 : x
  2. Step 2: Convert to fraction form
    27,877.87/41,805.42 = 13,832.78/x
  3. Step 3: Cross multiply
    27,877.87x = 41,805.42 × 13,832.78
  4. Step 4: Simplify right side
    27,877.87x = 578,284,916.77
  5. Step 5: Solve for x
    x = 578,284,916.77/27,877.87
  6. Step 6: Final answer
    x = 20,743.51

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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.