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Finding the Fourth Proportional to 21,846.22, 30,147.75 and 12,414.79

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Solution

The fourth proportional to 21,846.22, 30,147.75 and 12,414.79 is: 17,132.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,846.22 : 30,147.75 = 12,414.79 : x
  2. Step 2: Convert to fraction form
    21,846.22/30,147.75 = 12,414.79/x
  3. Step 3: Cross multiply
    21,846.22x = 30,147.75 × 12,414.79
  4. Step 4: Simplify right side
    21,846.22x = 374,277,985.22
  5. Step 5: Solve for x
    x = 374,277,985.22/21,846.22
  6. Step 6: Final answer
    x = 17,132.39

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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.