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Finding the Fourth Proportional to 16,344.54, 22,556.97 and 9,632.25

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Solution

The fourth proportional to 16,344.54, 22,556.97 and 9,632.25 is: 13,293.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,344.54 : 22,556.97 = 9,632.25 : x
  2. Step 2: Convert to fraction form
    16,344.54/22,556.97 = 9,632.25/x
  3. Step 3: Cross multiply
    16,344.54x = 22,556.97 × 9,632.25
  4. Step 4: Simplify right side
    16,344.54x = 217,274,374.28
  5. Step 5: Solve for x
    x = 217,274,374.28/16,344.54
  6. Step 6: Final answer
    x = 13,293.39

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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.