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Finding the Fourth Proportional to 16,354.90, 22,519.78 and 12,327.58

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Solution

The fourth proportional to 16,354.90, 22,519.78 and 12,327.58 is: 16,974.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,354.90 : 22,519.78 = 12,327.58 : x
  2. Step 2: Convert to fraction form
    16,354.90/22,519.78 = 12,327.58/x
  3. Step 3: Cross multiply
    16,354.90x = 22,519.78 × 12,327.58
  4. Step 4: Simplify right side
    16,354.90x = 277,614,389.53
  5. Step 5: Solve for x
    x = 277,614,389.53/16,354.90
  6. Step 6: Final answer
    x = 16,974.39

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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.