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Finding the Fourth Proportional to 22,648.14, 31,250.79 and 12,576.39

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Solution

The fourth proportional to 22,648.14, 31,250.79 and 12,576.39 is: 17,353.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,648.14 : 31,250.79 = 12,576.39 : x
  2. Step 2: Convert to fraction form
    22,648.14/31,250.79 = 12,576.39/x
  3. Step 3: Cross multiply
    22,648.14x = 31,250.79 × 12,576.39
  4. Step 4: Simplify right side
    22,648.14x = 393,022,122.85
  5. Step 5: Solve for x
    x = 393,022,122.85/22,648.14
  6. Step 6: Final answer
    x = 17,353.40

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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.