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Finding the Fourth Proportional to 19,731.60, 27,227.14 and 11,234.84

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Solution

The fourth proportional to 19,731.60, 27,227.14 and 11,234.84 is: 15,502.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,731.60 : 27,227.14 = 11,234.84 : x
  2. Step 2: Convert to fraction form
    19,731.60/27,227.14 = 11,234.84/x
  3. Step 3: Cross multiply
    19,731.60x = 27,227.14 × 11,234.84
  4. Step 4: Simplify right side
    19,731.60x = 305,892,561.56
  5. Step 5: Solve for x
    x = 305,892,561.56/19,731.60
  6. Step 6: Final answer
    x = 15,502.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.