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Finding the Fourth Proportional to 20,046.94, 27,677.34 and 12,879.76

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Solution

The fourth proportional to 20,046.94, 27,677.34 and 12,879.76 is: 17,782.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,046.94 : 27,677.34 = 12,879.76 : x
  2. Step 2: Convert to fraction form
    20,046.94/27,677.34 = 12,879.76/x
  3. Step 3: Cross multiply
    20,046.94x = 27,677.34 × 12,879.76
  4. Step 4: Simplify right side
    20,046.94x = 356,477,496.64
  5. Step 5: Solve for x
    x = 356,477,496.64/20,046.94
  6. Step 6: Final answer
    x = 17,782.14

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