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Finding the Fourth Proportional to 23,195.86, 34,770.42 and 9,165.83

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Solution

The fourth proportional to 23,195.86, 34,770.42 and 9,165.83 is: 13,739.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,195.86 : 34,770.42 = 9,165.83 : x
  2. Step 2: Convert to fraction form
    23,195.86/34,770.42 = 9,165.83/x
  3. Step 3: Cross multiply
    23,195.86x = 34,770.42 × 9,165.83
  4. Step 4: Simplify right side
    23,195.86x = 318,699,584.90
  5. Step 5: Solve for x
    x = 318,699,584.90/23,195.86
  6. Step 6: Final answer
    x = 13,739.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.