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Finding the Fourth Proportional to 16,551, 22,840.38 and 9,099

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Solution

The fourth proportional to 16,551, 22,840.38 and 9,099 is: 12,556.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,551 : 22,840.38 = 9,099 : x
  2. Step 2: Convert to fraction form
    16,551/22,840.38 = 9,099/x
  3. Step 3: Cross multiply
    16,551x = 22,840.38 × 9,099
  4. Step 4: Simplify right side
    16,551x = 207,824,617.62
  5. Step 5: Solve for x
    x = 207,824,617.62/16,551
  6. Step 6: Final answer
    x = 12,556.62

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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.