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Finding the Fourth Proportional to 12,402, 17,129.34 and 8,202.96

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Solution

The fourth proportional to 12,402, 17,129.34 and 8,202.96 is: 11,329.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,402 : 17,129.34 = 8,202.96 : x
  2. Step 2: Convert to fraction form
    12,402/17,129.34 = 8,202.96/x
  3. Step 3: Cross multiply
    12,402x = 17,129.34 × 8,202.96
  4. Step 4: Simplify right side
    12,402x = 140,511,290.85
  5. Step 5: Solve for x
    x = 140,511,290.85/12,402
  6. Step 6: Final answer
    x = 11,329.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.