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Finding the Fourth Proportional to 23,231.77, 34,861.32 and 9,193.15

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Solution

The fourth proportional to 23,231.77, 34,861.32 and 9,193.15 is: 13,795.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,231.77 : 34,861.32 = 9,193.15 : x
  2. Step 2: Convert to fraction form
    23,231.77/34,861.32 = 9,193.15/x
  3. Step 3: Cross multiply
    23,231.77x = 34,861.32 × 9,193.15
  4. Step 4: Simplify right side
    23,231.77x = 320,485,343.96
  5. Step 5: Solve for x
    x = 320,485,343.96/23,231.77
  6. Step 6: Final answer
    x = 13,795.13

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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.