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Finding the Fourth Proportional to 29,854, 41,198.52 and 17,286.16

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Solution

The fourth proportional to 29,854, 41,198.52 and 17,286.16 is: 23,854.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,854 : 41,198.52 = 17,286.16 : x
  2. Step 2: Convert to fraction form
    29,854/41,198.52 = 17,286.16/x
  3. Step 3: Cross multiply
    29,854x = 41,198.52 × 17,286.16
  4. Step 4: Simplify right side
    29,854x = 712,164,208.48
  5. Step 5: Solve for x
    x = 712,164,208.48/29,854
  6. Step 6: Final answer
    x = 23,854.90

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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.