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Finding the Fourth Proportional to 29,715.42, 41,007.59 and 16,286.37

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Solution

The fourth proportional to 29,715.42, 41,007.59 and 16,286.37 is: 22,475.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,715.42 : 41,007.59 = 16,286.37 : x
  2. Step 2: Convert to fraction form
    29,715.42/41,007.59 = 16,286.37/x
  3. Step 3: Cross multiply
    29,715.42x = 41,007.59 × 16,286.37
  4. Step 4: Simplify right side
    29,715.42x = 667,864,824.26
  5. Step 5: Solve for x
    x = 667,864,824.26/29,715.42
  6. Step 6: Final answer
    x = 22,475.36

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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.