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Finding the Fourth Proportional to 17,199.36, 23,734.56 and 9,645.96

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Solution

The fourth proportional to 17,199.36, 23,734.56 and 9,645.96 is: 13,311.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,199.36 : 23,734.56 = 9,645.96 : x
  2. Step 2: Convert to fraction form
    17,199.36/23,734.56 = 9,645.96/x
  3. Step 3: Cross multiply
    17,199.36x = 23,734.56 × 9,645.96
  4. Step 4: Simplify right side
    17,199.36x = 228,942,616.38
  5. Step 5: Solve for x
    x = 228,942,616.38/17,199.36
  6. Step 6: Final answer
    x = 13,311.11

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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.