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Finding the Fourth Proportional to 21,083.22, 31,611.69 and 8,588.16

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Solution

The fourth proportional to 21,083.22, 31,611.69 and 8,588.16 is: 12,876.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,083.22 : 31,611.69 = 8,588.16 : x
  2. Step 2: Convert to fraction form
    21,083.22/31,611.69 = 8,588.16/x
  3. Step 3: Cross multiply
    21,083.22x = 31,611.69 × 8,588.16
  4. Step 4: Simplify right side
    21,083.22x = 271,486,251.59
  5. Step 5: Solve for x
    x = 271,486,251.59/21,083.22
  6. Step 6: Final answer
    x = 12,876.89

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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.