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Finding the Fourth Proportional to 23,221.89, 32,046.30 and 12,611.70

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Solution

The fourth proportional to 23,221.89, 32,046.30 and 12,611.70 is: 17,404.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,221.89 : 32,046.30 = 12,611.70 : x
  2. Step 2: Convert to fraction form
    23,221.89/32,046.30 = 12,611.70/x
  3. Step 3: Cross multiply
    23,221.89x = 32,046.30 × 12,611.70
  4. Step 4: Simplify right side
    23,221.89x = 404,158,321.71
  5. Step 5: Solve for x
    x = 404,158,321.71/23,221.89
  6. Step 6: Final answer
    x = 17,404.20

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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.