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Finding the Fourth Proportional to 22,147.97, 30,564.38 and 12,076.48

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Solution

The fourth proportional to 22,147.97, 30,564.38 and 12,076.48 is: 16,665.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,147.97 : 30,564.38 = 12,076.48 : x
  2. Step 2: Convert to fraction form
    22,147.97/30,564.38 = 12,076.48/x
  3. Step 3: Cross multiply
    22,147.97x = 30,564.38 × 12,076.48
  4. Step 4: Simplify right side
    22,147.97x = 369,110,123.78
  5. Step 5: Solve for x
    x = 369,110,123.78/22,147.97
  6. Step 6: Final answer
    x = 16,665.64

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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.