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Finding the Fourth Proportional to 21,156.78, 29,198.16 and 12,204.66

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Solution

The fourth proportional to 21,156.78, 29,198.16 and 12,204.66 is: 16,843.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,156.78 : 29,198.16 = 12,204.66 : x
  2. Step 2: Convert to fraction form
    21,156.78/29,198.16 = 12,204.66/x
  3. Step 3: Cross multiply
    21,156.78x = 29,198.16 × 12,204.66
  4. Step 4: Simplify right side
    21,156.78x = 356,353,615.43
  5. Step 5: Solve for x
    x = 356,353,615.43/21,156.78
  6. Step 6: Final answer
    x = 16,843.47

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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.