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Finding the Fourth Proportional to 19,834, 29,734.04 and 8,139.92

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Solution

The fourth proportional to 19,834, 29,734.04 and 8,139.92 is: 12,202.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,834 : 29,734.04 = 8,139.92 : x
  2. Step 2: Convert to fraction form
    19,834/29,734.04 = 8,139.92/x
  3. Step 3: Cross multiply
    19,834x = 29,734.04 × 8,139.92
  4. Step 4: Simplify right side
    19,834x = 242,032,706.88
  5. Step 5: Solve for x
    x = 242,032,706.88/19,834
  6. Step 6: Final answer
    x = 12,202.92

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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.