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Finding the Fourth Proportional to 23,221.74, 32,046.09 and 12,611.46

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Solution

The fourth proportional to 23,221.74, 32,046.09 and 12,611.46 is: 17,403.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,221.74 : 32,046.09 = 12,611.46 : x
  2. Step 2: Convert to fraction form
    23,221.74/32,046.09 = 12,611.46/x
  3. Step 3: Cross multiply
    23,221.74x = 32,046.09 × 12,611.46
  4. Step 4: Simplify right side
    23,221.74x = 404,147,982.19
  5. Step 5: Solve for x
    x = 404,147,982.19/23,221.74
  6. Step 6: Final answer
    x = 17,403.86

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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.