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Finding the Fourth Proportional to 13,808.52, 20,714.53 and 13,594.80

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Solution

The fourth proportional to 13,808.52, 20,714.53 and 13,594.80 is: 20,393.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,808.52 : 20,714.53 = 13,594.80 : x
  2. Step 2: Convert to fraction form
    13,808.52/20,714.53 = 13,594.80/x
  3. Step 3: Cross multiply
    13,808.52x = 20,714.53 × 13,594.80
  4. Step 4: Simplify right side
    13,808.52x = 281,609,892.44
  5. Step 5: Solve for x
    x = 281,609,892.44/13,808.52
  6. Step 6: Final answer
    x = 20,393.92

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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.