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Finding the Fourth Proportional to 21,704.36, 29,952.62 and 12,274.36

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Solution

The fourth proportional to 21,704.36, 29,952.62 and 12,274.36 is: 16,938.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,704.36 : 29,952.62 = 12,274.36 : x
  2. Step 2: Convert to fraction form
    21,704.36/29,952.62 = 12,274.36/x
  3. Step 3: Cross multiply
    21,704.36x = 29,952.62 × 12,274.36
  4. Step 4: Simplify right side
    21,704.36x = 367,649,240.82
  5. Step 5: Solve for x
    x = 367,649,240.82/21,704.36
  6. Step 6: Final answer
    x = 16,938.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.