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Finding the Fourth Proportional to 16,481.72, 22,745.34 and 9,029.72

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Solution

The fourth proportional to 16,481.72, 22,745.34 and 9,029.72 is: 12,461.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,481.72 : 22,745.34 = 9,029.72 : x
  2. Step 2: Convert to fraction form
    16,481.72/22,745.34 = 9,029.72/x
  3. Step 3: Cross multiply
    16,481.72x = 22,745.34 × 9,029.72
  4. Step 4: Simplify right side
    16,481.72x = 205,384,051.50
  5. Step 5: Solve for x
    x = 205,384,051.50/16,481.72
  6. Step 6: Final answer
    x = 12,461.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.