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Finding the Fourth Proportional to 23,761.14, 35,654.12 and 17,241.14

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Solution

The fourth proportional to 23,761.14, 35,654.12 and 17,241.14 is: 25,870.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,761.14 : 35,654.12 = 17,241.14 : x
  2. Step 2: Convert to fraction form
    23,761.14/35,654.12 = 17,241.14/x
  3. Step 3: Cross multiply
    23,761.14x = 35,654.12 × 17,241.14
  4. Step 4: Simplify right side
    23,761.14x = 614,717,674.50
  5. Step 5: Solve for x
    x = 614,717,674.50/23,761.14
  6. Step 6: Final answer
    x = 25,870.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.