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Finding the Fourth Proportional to 27,670.33, 41,505.36 and 12,871.09

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Solution

The fourth proportional to 27,670.33, 41,505.36 and 12,871.09 is: 19,306.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,670.33 : 41,505.36 = 12,871.09 : x
  2. Step 2: Convert to fraction form
    27,670.33/41,505.36 = 12,871.09/x
  3. Step 3: Cross multiply
    27,670.33x = 41,505.36 × 12,871.09
  4. Step 4: Simplify right side
    27,670.33x = 534,219,224.04
  5. Step 5: Solve for x
    x = 534,219,224.04/27,670.33
  6. Step 6: Final answer
    x = 19,306.57

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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.