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Finding the Fourth Proportional to 13,714.80, 20,573.00 and 3,854.85

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Solution

The fourth proportional to 13,714.80, 20,573.00 and 3,854.85 is: 5,782.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,714.80 : 20,573.00 = 3,854.85 : x
  2. Step 2: Convert to fraction form
    13,714.80/20,573.00 = 3,854.85/x
  3. Step 3: Cross multiply
    13,714.80x = 20,573.00 × 3,854.85
  4. Step 4: Simplify right side
    13,714.80x = 79,305,706.91
  5. Step 5: Solve for x
    x = 79,305,706.91/13,714.80
  6. Step 6: Final answer
    x = 5,782.49

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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.