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Finding the Fourth Proportional to 27,047.28, 40,559.84 and 11,241.48

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Solution

The fourth proportional to 27,047.28, 40,559.84 and 11,241.48 is: 16,857.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,047.28 : 40,559.84 = 11,241.48 : x
  2. Step 2: Convert to fraction form
    27,047.28/40,559.84 = 11,241.48/x
  3. Step 3: Cross multiply
    27,047.28x = 40,559.84 × 11,241.48
  4. Step 4: Simplify right side
    27,047.28x = 455,952,630.16
  5. Step 5: Solve for x
    x = 455,952,630.16/27,047.28
  6. Step 6: Final answer
    x = 16,857.61

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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.