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Finding the Fourth Proportional to 16,165.44, 22,309.56 and 9,092.52

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Solution

The fourth proportional to 16,165.44, 22,309.56 and 9,092.52 is: 12,548.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,165.44 : 22,309.56 = 9,092.52 : x
  2. Step 2: Convert to fraction form
    16,165.44/22,309.56 = 9,092.52/x
  3. Step 3: Cross multiply
    16,165.44x = 22,309.56 × 9,092.52
  4. Step 4: Simplify right side
    16,165.44x = 202,850,120.49
  5. Step 5: Solve for x
    x = 202,850,120.49/16,165.44
  6. Step 6: Final answer
    x = 12,548.38

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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.