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Finding the Fourth Proportional to 23,231.69, 32,059.80 and 13,161.99

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Solution

The fourth proportional to 23,231.69, 32,059.80 and 13,161.99 is: 18,163.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,231.69 : 32,059.80 = 13,161.99 : x
  2. Step 2: Convert to fraction form
    23,231.69/32,059.80 = 13,161.99/x
  3. Step 3: Cross multiply
    23,231.69x = 32,059.80 × 13,161.99
  4. Step 4: Simplify right side
    23,231.69x = 421,970,767.00
  5. Step 5: Solve for x
    x = 421,970,767.00/23,231.69
  6. Step 6: Final answer
    x = 18,163.59

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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.