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Finding the Fourth Proportional to 27,141.56, 40,709.10 and 11,563.64

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Solution

The fourth proportional to 27,141.56, 40,709.10 and 11,563.64 is: 17,344.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,141.56 : 40,709.10 = 11,563.64 : x
  2. Step 2: Convert to fraction form
    27,141.56/40,709.10 = 11,563.64/x
  3. Step 3: Cross multiply
    27,141.56x = 40,709.10 × 11,563.64
  4. Step 4: Simplify right side
    27,141.56x = 470,745,377.12
  5. Step 5: Solve for x
    x = 470,745,377.12/27,141.56
  6. Step 6: Final answer
    x = 17,344.08

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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.