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Finding the Fourth Proportional to 16,469.56, 22,729.89 and 9,397

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Solution

The fourth proportional to 16,469.56, 22,729.89 and 9,397 is: 12,968.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,469.56 : 22,729.89 = 9,397 : x
  2. Step 2: Convert to fraction form
    16,469.56/22,729.89 = 9,397/x
  3. Step 3: Cross multiply
    16,469.56x = 22,729.89 × 9,397
  4. Step 4: Simplify right side
    16,469.56x = 213,592,776.33
  5. Step 5: Solve for x
    x = 213,592,776.33/16,469.56
  6. Step 6: Final answer
    x = 12,968.94

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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.