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Finding the Fourth Proportional to 20,084.58, 27,717.77 and 12,127.34

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Solution

The fourth proportional to 20,084.58, 27,717.77 and 12,127.34 is: 16,736.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,084.58 : 27,717.77 = 12,127.34 : x
  2. Step 2: Convert to fraction form
    20,084.58/27,717.77 = 12,127.34/x
  3. Step 3: Cross multiply
    20,084.58x = 27,717.77 × 12,127.34
  4. Step 4: Simplify right side
    20,084.58x = 336,142,920.44
  5. Step 5: Solve for x
    x = 336,142,920.44/20,084.58
  6. Step 6: Final answer
    x = 16,736.37

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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.