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Finding the Fourth Proportional to 16,896.72, 25,321.40 and 8,002.64

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Solution

The fourth proportional to 16,896.72, 25,321.40 and 8,002.64 is: 11,992.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,896.72 : 25,321.40 = 8,002.64 : x
  2. Step 2: Convert to fraction form
    16,896.72/25,321.40 = 8,002.64/x
  3. Step 3: Cross multiply
    16,896.72x = 25,321.40 × 8,002.64
  4. Step 4: Simplify right side
    16,896.72x = 202,638,048.50
  5. Step 5: Solve for x
    x = 202,638,048.50/16,896.72
  6. Step 6: Final answer
    x = 11,992.74

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Why These Related Problems?

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