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Finding the Fourth Proportional to 22,354.50, 30,850.02 and 12,283.91

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Solution

The fourth proportional to 22,354.50, 30,850.02 and 12,283.91 is: 16,952.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,354.50 : 30,850.02 = 12,283.91 : x
  2. Step 2: Convert to fraction form
    22,354.50/30,850.02 = 12,283.91/x
  3. Step 3: Cross multiply
    22,354.50x = 30,850.02 × 12,283.91
  4. Step 4: Simplify right side
    22,354.50x = 378,958,714.93
  5. Step 5: Solve for x
    x = 378,958,714.93/22,354.50
  6. Step 6: Final answer
    x = 16,952.23

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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.