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Finding the Fourth Proportional to 16,201.40, 24,302.09 and 9,271.04

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Solution

The fourth proportional to 16,201.40, 24,302.09 and 9,271.04 is: 13,906.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,201.40 : 24,302.09 = 9,271.04 : x
  2. Step 2: Convert to fraction form
    16,201.40/24,302.09 = 9,271.04/x
  3. Step 3: Cross multiply
    16,201.40x = 24,302.09 × 9,271.04
  4. Step 4: Simplify right side
    16,201.40x = 225,305,732.41
  5. Step 5: Solve for x
    x = 225,305,732.41/16,201.40
  6. Step 6: Final answer
    x = 13,906.56

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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.