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Finding the Fourth Proportional to 16,173, 22,318.20 and 9,099

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Solution

The fourth proportional to 16,173, 22,318.20 and 9,099 is: 12,556.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,173 : 22,318.20 = 9,099 : x
  2. Step 2: Convert to fraction form
    16,173/22,318.20 = 9,099/x
  3. Step 3: Cross multiply
    16,173x = 22,318.20 × 9,099
  4. Step 4: Simplify right side
    16,173x = 203,073,301.80
  5. Step 5: Solve for x
    x = 203,073,301.80/16,173
  6. Step 6: Final answer
    x = 12,556.32

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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.