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Finding the Fourth Proportional to 25,910.38, 35,765 and 17,409.61

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Solution

The fourth proportional to 25,910.38, 35,765 and 17,409.61 is: 24,031.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,910.38 : 35,765 = 17,409.61 : x
  2. Step 2: Convert to fraction form
    25,910.38/35,765 = 17,409.61/x
  3. Step 3: Cross multiply
    25,910.38x = 35,765 × 17,409.61
  4. Step 4: Simplify right side
    25,910.38x = 622,654,701.65
  5. Step 5: Solve for x
    x = 622,654,701.65/25,910.38
  6. Step 6: Final answer
    x = 24,031.09

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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.