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Finding the Fourth Proportional to 21,469.44, 32,199.30 and 9,786

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Solution

The fourth proportional to 21,469.44, 32,199.30 and 9,786 is: 14,676.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,469.44 : 32,199.30 = 9,786 : x
  2. Step 2: Convert to fraction form
    21,469.44/32,199.30 = 9,786/x
  3. Step 3: Cross multiply
    21,469.44x = 32,199.30 × 9,786
  4. Step 4: Simplify right side
    21,469.44x = 315,102,349.80
  5. Step 5: Solve for x
    x = 315,102,349.80/21,469.44
  6. Step 6: Final answer
    x = 14,676.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.