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Finding the Fourth Proportional to 17,202.89, 23,740.26 and 9,650.90

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Solution

The fourth proportional to 17,202.89, 23,740.26 and 9,650.90 is: 13,318.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,202.89 : 23,740.26 = 9,650.90 : x
  2. Step 2: Convert to fraction form
    17,202.89/23,740.26 = 9,650.90/x
  3. Step 3: Cross multiply
    17,202.89x = 23,740.26 × 9,650.90
  4. Step 4: Simplify right side
    17,202.89x = 229,114,875.23
  5. Step 5: Solve for x
    x = 229,114,875.23/17,202.89
  6. Step 6: Final answer
    x = 13,318.39

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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.