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Finding the Fourth Proportional to 20,083, 27,714.54 and 11,704.60

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Solution

The fourth proportional to 20,083, 27,714.54 and 11,704.60 is: 16,152.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,083 : 27,714.54 = 11,704.60 : x
  2. Step 2: Convert to fraction form
    20,083/27,714.54 = 11,704.60/x
  3. Step 3: Cross multiply
    20,083x = 27,714.54 × 11,704.60
  4. Step 4: Simplify right side
    20,083x = 324,387,604.88
  5. Step 5: Solve for x
    x = 324,387,604.88/20,083
  6. Step 6: Final answer
    x = 16,152.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.