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Finding the Fourth Proportional to 17,537, 24,201.78 and 10,085

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Solution

The fourth proportional to 17,537, 24,201.78 and 10,085 is: 13,917.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,537 : 24,201.78 = 10,085 : x
  2. Step 2: Convert to fraction form
    17,537/24,201.78 = 10,085/x
  3. Step 3: Cross multiply
    17,537x = 24,201.78 × 10,085
  4. Step 4: Simplify right side
    17,537x = 244,074,951.30
  5. Step 5: Solve for x
    x = 244,074,951.30/17,537
  6. Step 6: Final answer
    x = 13,917.71

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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.