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Finding the Fourth Proportional to 29,857.44, 41,201.76 and 17,918.40

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Solution

The fourth proportional to 29,857.44, 41,201.76 and 17,918.40 is: 24,726.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,857.44 : 41,201.76 = 17,918.40 : x
  2. Step 2: Convert to fraction form
    29,857.44/41,201.76 = 17,918.40/x
  3. Step 3: Cross multiply
    29,857.44x = 41,201.76 × 17,918.40
  4. Step 4: Simplify right side
    29,857.44x = 738,269,616.38
  5. Step 5: Solve for x
    x = 738,269,616.38/29,857.44
  6. Step 6: Final answer
    x = 24,726.49

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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.