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Finding the Fourth Proportional to 29,715.71, 41,007.99 and 16,286.67

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Solution

The fourth proportional to 29,715.71, 41,007.99 and 16,286.67 is: 22,475.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,715.71 : 41,007.99 = 16,286.67 : x
  2. Step 2: Convert to fraction form
    29,715.71/41,007.99 = 16,286.67/x
  3. Step 3: Cross multiply
    29,715.71x = 41,007.99 × 16,286.67
  4. Step 4: Simplify right side
    29,715.71x = 667,883,600.49
  5. Step 5: Solve for x
    x = 667,883,600.49/29,715.71
  6. Step 6: Final answer
    x = 22,475.78

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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.