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Finding the Fourth Proportional to 16,047.69, 24,072.97 and 4,201.44

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Solution

The fourth proportional to 16,047.69, 24,072.97 and 4,201.44 is: 6,302.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,047.69 : 24,072.97 = 4,201.44 : x
  2. Step 2: Convert to fraction form
    16,047.69/24,072.97 = 4,201.44/x
  3. Step 3: Cross multiply
    16,047.69x = 24,072.97 × 4,201.44
  4. Step 4: Simplify right side
    16,047.69x = 101,141,261.11
  5. Step 5: Solve for x
    x = 101,141,261.11/16,047.69
  6. Step 6: Final answer
    x = 6,302.54

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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.