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Finding the Fourth Proportional to 19,863, 29,794.54 and 8,461.98

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Solution

The fourth proportional to 19,863, 29,794.54 and 8,461.98 is: 12,692.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,863 : 29,794.54 = 8,461.98 : x
  2. Step 2: Convert to fraction form
    19,863/29,794.54 = 8,461.98/x
  3. Step 3: Cross multiply
    19,863x = 29,794.54 × 8,461.98
  4. Step 4: Simplify right side
    19,863x = 252,120,801.59
  5. Step 5: Solve for x
    x = 252,120,801.59/19,863
  6. Step 6: Final answer
    x = 12,692.99

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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.