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Finding the Fourth Proportional to 27,549.08, 41,316.24 and 11,963

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Solution

The fourth proportional to 27,549.08, 41,316.24 and 11,963 is: 17,941.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,549.08 : 41,316.24 = 11,963 : x
  2. Step 2: Convert to fraction form
    27,549.08/41,316.24 = 11,963/x
  3. Step 3: Cross multiply
    27,549.08x = 41,316.24 × 11,963
  4. Step 4: Simplify right side
    27,549.08x = 494,266,179.12
  5. Step 5: Solve for x
    x = 494,266,179.12/27,549.08
  6. Step 6: Final answer
    x = 17,941.30

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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.