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Finding the Fourth Proportional to 21,636.75, 29,858.16 and 12,204.57

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Solution

The fourth proportional to 21,636.75, 29,858.16 and 12,204.57 is: 16,841.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,636.75 : 29,858.16 = 12,204.57 : x
  2. Step 2: Convert to fraction form
    21,636.75/29,858.16 = 12,204.57/x
  3. Step 3: Cross multiply
    21,636.75x = 29,858.16 × 12,204.57
  4. Step 4: Simplify right side
    21,636.75x = 364,406,003.79
  5. Step 5: Solve for x
    x = 364,406,003.79/21,636.75
  6. Step 6: Final answer
    x = 16,841.99

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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.