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Finding the Fourth Proportional to 21,625.89, 29,844.77 and 12,194.25

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Solution

The fourth proportional to 21,625.89, 29,844.77 and 12,194.25 is: 16,828.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,625.89 : 29,844.77 = 12,194.25 : x
  2. Step 2: Convert to fraction form
    21,625.89/29,844.77 = 12,194.25/x
  3. Step 3: Cross multiply
    21,625.89x = 29,844.77 × 12,194.25
  4. Step 4: Simplify right side
    21,625.89x = 363,934,525.60
  5. Step 5: Solve for x
    x = 363,934,525.60/21,625.89
  6. Step 6: Final answer
    x = 16,828.65

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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.