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Finding the Fourth Proportional to 27,435.63, 41,144.12 and 7,709.60

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Solution

The fourth proportional to 27,435.63, 41,144.12 and 7,709.60 is: 11,561.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,435.63 : 41,144.12 = 7,709.60 : x
  2. Step 2: Convert to fraction form
    27,435.63/41,144.12 = 7,709.60/x
  3. Step 3: Cross multiply
    27,435.63x = 41,144.12 × 7,709.60
  4. Step 4: Simplify right side
    27,435.63x = 317,204,463.28
  5. Step 5: Solve for x
    x = 317,204,463.28/27,435.63
  6. Step 6: Final answer
    x = 11,561.77

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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.