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Finding the Fourth Proportional to 19,563.42, 29,385.72 and 15,819.42

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Solution

The fourth proportional to 19,563.42, 29,385.72 and 15,819.42 is: 23,761.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,563.42 : 29,385.72 = 15,819.42 : x
  2. Step 2: Convert to fraction form
    19,563.42/29,385.72 = 15,819.42/x
  3. Step 3: Cross multiply
    19,563.42x = 29,385.72 × 15,819.42
  4. Step 4: Simplify right side
    19,563.42x = 464,865,046.68
  5. Step 5: Solve for x
    x = 464,865,046.68/19,563.42
  6. Step 6: Final answer
    x = 23,761.95

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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.