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Finding the Fourth Proportional to 27,571.08, 41,349.24 and 11,985

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Solution

The fourth proportional to 27,571.08, 41,349.24 and 11,985 is: 17,974.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,571.08 : 41,349.24 = 11,985 : x
  2. Step 2: Convert to fraction form
    27,571.08/41,349.24 = 11,985/x
  3. Step 3: Cross multiply
    27,571.08x = 41,349.24 × 11,985
  4. Step 4: Simplify right side
    27,571.08x = 495,570,641.40
  5. Step 5: Solve for x
    x = 495,570,641.40/27,571.08
  6. Step 6: Final answer
    x = 17,974.29

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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.