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Finding the Fourth Proportional to 29,286.49, 40,415.38 and 15,857.75

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Solution

The fourth proportional to 29,286.49, 40,415.38 and 15,857.75 is: 21,883.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,286.49 : 40,415.38 = 15,857.75 : x
  2. Step 2: Convert to fraction form
    29,286.49/40,415.38 = 15,857.75/x
  3. Step 3: Cross multiply
    29,286.49x = 40,415.38 × 15,857.75
  4. Step 4: Simplify right side
    29,286.49x = 640,896,992.20
  5. Step 5: Solve for x
    x = 640,896,992.20/29,286.49
  6. Step 6: Final answer
    x = 21,883.71

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Why These Related Problems?

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