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Finding the Fourth Proportional to 23,231.66, 34,835.14 and 9,191.12

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Solution

The fourth proportional to 23,231.66, 34,835.14 and 9,191.12 is: 13,781.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,231.66 : 34,835.14 = 9,191.12 : x
  2. Step 2: Convert to fraction form
    23,231.66/34,835.14 = 9,191.12/x
  3. Step 3: Cross multiply
    23,231.66x = 34,835.14 × 9,191.12
  4. Step 4: Simplify right side
    23,231.66x = 320,173,906.00
  5. Step 5: Solve for x
    x = 320,173,906.00/23,231.66
  6. Step 6: Final answer
    x = 13,781.79

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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.