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Finding the Fourth Proportional to 16,495.39, 22,757.97 and 9,324.46

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Solution

The fourth proportional to 16,495.39, 22,757.97 and 9,324.46 is: 12,864.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,495.39 : 22,757.97 = 9,324.46 : x
  2. Step 2: Convert to fraction form
    16,495.39/22,757.97 = 9,324.46/x
  3. Step 3: Cross multiply
    16,495.39x = 22,757.97 × 9,324.46
  4. Step 4: Simplify right side
    16,495.39x = 212,205,780.95
  5. Step 5: Solve for x
    x = 212,205,780.95/16,495.39
  6. Step 6: Final answer
    x = 12,864.55

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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.