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Finding the Fourth Proportional to 16,007.62, 22,091.74 and 8,838.92

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Solution

The fourth proportional to 16,007.62, 22,091.74 and 8,838.92 is: 12,198.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,007.62 : 22,091.74 = 8,838.92 : x
  2. Step 2: Convert to fraction form
    16,007.62/22,091.74 = 8,838.92/x
  3. Step 3: Cross multiply
    16,007.62x = 22,091.74 × 8,838.92
  4. Step 4: Simplify right side
    16,007.62x = 195,267,122.52
  5. Step 5: Solve for x
    x = 195,267,122.52/16,007.62
  6. Step 6: Final answer
    x = 12,198.39

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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.