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Finding the Fourth Proportional to 27,856.68, 41,792.32 and 8,135.42

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Solution

The fourth proportional to 27,856.68, 41,792.32 and 8,135.42 is: 12,205.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,856.68 : 41,792.32 = 8,135.42 : x
  2. Step 2: Convert to fraction form
    27,856.68/41,792.32 = 8,135.42/x
  3. Step 3: Cross multiply
    27,856.68x = 41,792.32 × 8,135.42
  4. Step 4: Simplify right side
    27,856.68x = 339,998,075.97
  5. Step 5: Solve for x
    x = 339,998,075.97/27,856.68
  6. Step 6: Final answer
    x = 12,205.26

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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.