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Finding the Fourth Proportional to 15,771.82, 23,659 and 5,241.46

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Solution

The fourth proportional to 15,771.82, 23,659 and 5,241.46 is: 7,862.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,771.82 : 23,659 = 5,241.46 : x
  2. Step 2: Convert to fraction form
    15,771.82/23,659 = 5,241.46/x
  3. Step 3: Cross multiply
    15,771.82x = 23,659 × 5,241.46
  4. Step 4: Simplify right side
    15,771.82x = 124,007,702.14
  5. Step 5: Solve for x
    x = 124,007,702.14/15,771.82
  6. Step 6: Final answer
    x = 7,862.61

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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.