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Finding the Fourth Proportional to 19,884.69, 29,827.04 and 8,197.61

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Solution

The fourth proportional to 19,884.69, 29,827.04 and 8,197.61 is: 12,296.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,884.69 : 29,827.04 = 8,197.61 : x
  2. Step 2: Convert to fraction form
    19,884.69/29,827.04 = 8,197.61/x
  3. Step 3: Cross multiply
    19,884.69x = 29,827.04 × 8,197.61
  4. Step 4: Simplify right side
    19,884.69x = 244,510,251.25
  5. Step 5: Solve for x
    x = 244,510,251.25/19,884.69
  6. Step 6: Final answer
    x = 12,296.41

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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.