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Finding the Fourth Proportional to 16,265.88, 22,447.08 and 9,192.24

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Solution

The fourth proportional to 16,265.88, 22,447.08 and 9,192.24 is: 12,685.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,265.88 : 22,447.08 = 9,192.24 : x
  2. Step 2: Convert to fraction form
    16,265.88/22,447.08 = 9,192.24/x
  3. Step 3: Cross multiply
    16,265.88x = 22,447.08 × 9,192.24
  4. Step 4: Simplify right side
    16,265.88x = 206,338,946.66
  5. Step 5: Solve for x
    x = 206,338,946.66/16,265.88
  6. Step 6: Final answer
    x = 12,685.38

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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.