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Finding the Fourth Proportional to 16,599, 22,906.62 and 9,147

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Solution

The fourth proportional to 16,599, 22,906.62 and 9,147 is: 12,622.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,599 : 22,906.62 = 9,147 : x
  2. Step 2: Convert to fraction form
    16,599/22,906.62 = 9,147/x
  3. Step 3: Cross multiply
    16,599x = 22,906.62 × 9,147
  4. Step 4: Simplify right side
    16,599x = 209,526,853.14
  5. Step 5: Solve for x
    x = 209,526,853.14/16,599
  6. Step 6: Final answer
    x = 12,622.86

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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.