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Finding the Fourth Proportional to 21,704.67, 29,952.95 and 12,273.75

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Solution

The fourth proportional to 21,704.67, 29,952.95 and 12,273.75 is: 16,938.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,704.67 : 29,952.95 = 12,273.75 : x
  2. Step 2: Convert to fraction form
    21,704.67/29,952.95 = 12,273.75/x
  3. Step 3: Cross multiply
    21,704.67x = 29,952.95 × 12,273.75
  4. Step 4: Simplify right side
    21,704.67x = 367,634,958.69
  5. Step 5: Solve for x
    x = 367,634,958.69/21,704.67
  6. Step 6: Final answer
    x = 16,938.06

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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.