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Finding the Fourth Proportional to 27,142.56, 40,716.72 and 11,561.76

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Solution

The fourth proportional to 27,142.56, 40,716.72 and 11,561.76 is: 17,343.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,142.56 : 40,716.72 = 11,561.76 : x
  2. Step 2: Convert to fraction form
    27,142.56/40,716.72 = 11,561.76/x
  3. Step 3: Cross multiply
    27,142.56x = 40,716.72 × 11,561.76
  4. Step 4: Simplify right side
    27,142.56x = 470,756,944.63
  5. Step 5: Solve for x
    x = 470,756,944.63/27,142.56
  6. Step 6: Final answer
    x = 17,343.87

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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.